Komsomolsk-on-Amur State Technical University
Faculty of Computer Technology
 husainov@knastu.ru
 Today:  


 Monographies

 

  1. Husainov A. The study of concurrent systems using the theory of categories. - Saarbrucken: LAP LAMBERT Academic Publishing, 2012. - 152 p. (Russian) https://www.ljubljuknigi.ru

  2. Husainov A. Homology of simplicial, semi-simplicial and semicubical sets. - Saarbrucken: LAP LAMBERT Academic Publishing, 2014. - 124 p. (Russian) https://www.ljubljuknigi.ru

 Papers

 

  1. Khusainov A. A. Cohomology of small categories with coefficients in an Abelian category with exact products. // Sib. Math. J. 1989. V.30, N 4. P.668-672; translation from Sib. Mat. Zh. 1989.V. 30, N 4. P. 210-215.
    http://www.springerlink.com

  2. Husainov A. A. Cohomology of small categories // Quest. Answ. General Topology. 1990. V.8.Special Issue. P.179-184.

  3. Khusainov A. A. Homotopy equivalence of coverings and the spectral sequence of a fibration // Sib. Math. J. 1991. V.32, N 1. P. 116-122; translation from Sib. Mat. Zh. 1991. V.32,N 1 (185). P.141-147.
    http://www.springerlink.com

  4. Khusainov A. A. On extension groups in the category of Abelian diagrams. // Sib. Math. J. 1992. V.33, N 1. P.149-154; translation from Sib. Mat. Zh. 1992. V. 33, N 1. P. 179-185. http://www.springerlink.com

  5. Khusainov A. A. On the Hochschild-Mitchell dimension of the number line. // Sov. Math., Dokl. 1992. V.45, N 1. P.89-92; translation from Dokl. Akad. Nauk SSSR. 1992. V. 322, N 2. P. 259-261.

  6. Khusainov A. A. On the Hochschild-Mitchell dimension of ordered sets. // Sib. Math. J. 1992. V. 33, N 6. P. 1140-1143; translation from Sib. Mat. Zh. 1992. V. 33, N 6. P. 211-215. http://www.springerlink.com

  7. Khusainov A. A. The Hochschild-Mitchell dimension of the set of reals is equal to 3. // Sib. Math. J. 1993. V.34, N 4. P.786-793; translation from Sib. Mat. Zh. 1993. V. 34, N 4. P. 217-227. http://www.springerlink.com

  8. Khusainov A. A. The Hochschild-Mitchell dimension of linearly ordered sets and the continuum hypothesis. // Sib. Math. J. 1994. V. 35, N 5. P. 1040-1051; translation from Sib. Mat. Zh. 1994. V. 35, N 5. P. 1171-1184. http://www.springerlink.com

  9. Husainov A. A. On the Hochschild-Mitchell dimension of subsets of the reals // Contemp. Math. 1995. V.184. P. 207- 213.

  10. Khusainov A. A. Not lim-acyclic sums of copies. // Sib. Math. J. 1996. V.37, N 2. P. 405-413; translation from Sib. Mat. Zh. 1996. V. 37, N 2. P. 464-474. http://www.springerlink.com

  11. Khusainov A. A. On the global dimension of the category of commutative diagrams in an Abelian category // Sib. Math. J. 1996. V. 37, N 5. P.1041-1051; translation from Sib. Mat. Zh. 1996. V.37, N 5. P. 1181-1194. http://www.springerlink.com

  12. Khusainov A. A. Sums of copies of acyclic spectra. // Dokl. Math. 1997. V.56, N 2. P. 689-690; translation from Dokl. Acad. Nauk, Ross. Acad. Nauk. 1997. V. 356, N 2. P. 176-177.

  13. Khusainov A. A. Comparing dimensions of a small category. // Sib. Math. J. 1997. V. 38, N 6. P. 1230-1240. translation from Sib. Mat. Zh. 1997. V. 38, N 6. P. 1413-1426. http://www.springerlink.com

  14. Khusainov A. A. Cancellative categories of dimension 1 are partially free. // Actual problems in contemporary math. V.3. - Novosibirsk: Novosibirsk State University. 1997. P. 193-201. (Russian)
    act.ps

  15. Khusainov A. A. On locally finite partially ordered sets of dimension 3. // Sib. Math. J. 1998.V.39, N 1. P.176-180. translation from Sib. Mat. Zh. 1998. V. 39, N 1. P. 201-205. http://www.springerlink.com

  16. Khusainov A. A. On the global dimension of the category of Abelian group valued diagrams over a totally ordered set. // Fund. Prikl. Mat. 1998. V. 4, N 2. P. 717-723. (Russian)
    http://mi.mathnet.ru/eng/fpm/v4/i2/p717

  17. Khusainov A. A. On the global dimension of the category of diagrams in a module category. // Sib. Math. J. 1999. V.40 , N 1. P.185-194; translation from Sib. Mat. Zh. 1999. V. 40, N 1. P. 214-225. http://www.springerlink.com

  18. Husainov A.A., Pancar A. Methods of Calculating Cohomological and Hochschild-Mitchell Dimensions of Finite Partially Ordered Sets // Homology Homotopy Appl. 2001. V. 3, N 5. P. 101-110.
    http://projecteuclid.org/euclid.hha/1140370267

  19. Khusainov A. A. On the relative extension groups in the category of commutative diagrams // Sib. Math. J. 2001. V. 42, N 3. P. 593-604; translation from Sib. Mat. Zh. 2001. V.42, N 3. P. 699-713.
    http://www.springerlink.com

  20. Husainov A. A. Homological dimension theory of small categories // J. Math. Sci., New York. 2002. V.110, N 1. P.2273-2321.
    http://www.springerlink.com

  21. Khusainov A. A. Tkachenko V.V. Homology groups of the asynchronous transition systems // Mathematical Modeling and the near Questions of Mathematics. Collection of the scientifics works. Khabarovsk: KhGPU, 2003. P. 23-33. (Russian)
    tkachenko.zip

  22. Husainov A.A., Calisici H. Flows in Graphs and the Homology of Free Categories // Algebra and Discrete Mathematics. 2003. N 2. P. 36-46.
    http://www.mathnet.ru

  23. Khusainov A. A. Solvability of equations and the continuum hypothesis // Far Eastern Math. Journal. 2003. V.4, N 2. P.162-166. (Russian)
    http://mi.mathnet.ru/eng/dvmg/v4/i2/p162

  24. Husainov A. A. On the homology of small categories and asynchronous transition systems // Homology Homotopy Appl. 2004. V.6, N 1. P.439-471.
    http://www.bangor.ac.uk/hha

  25. Husainov A.A., Tkachenko V.V. On homology groups of asynchronous transition systems // Far Eastern Mathematical Journal. 2005. V.6, N 1-2. P. 23-38. (Russian)
    http://mi.mathnet.ru/eng/dvmg/v6/i1/p23

  26. Khusainov A. A. Homology groups of semicubical sets // Sib. Math. J. 2008. V. 49, N 1. P. 593-604; translation from Sib. Mat. Zh. 2008. V. 49, N 1. P. 224-237.
    http://www.springerlink.com

  27. Khusainov A. A., Lopatkin V.E., Treshchev I. A. Studying a mathematical model of parallel computation by algebraic topology methods // Journal of Applied and Industrial Math. 2009. V. 3, N 3. P.353-363; translation from Sibirskii Zhurnal Industrial’noi Matematiki. 2008. V. 11, N 1(33). P. 141-151.
    http://www.springerlink.com

  28. Husainov A. A. On the Leech dimension of a free partially commutative monoid // Tbilisi Mathematical Journal. 2008. V.1, N 1. P.71-87.
    TMJ/index.html

  29. Khusainov A. A. Cubical homology and Leech dimension of free partially commutative monoids // Sbornik: Mathematics. 2008. V.199, N 12. P.1859-1884.
    http://iopscience.iop.org

  30. Husainov A. A. The global dimension of a trace monoid ring // Semigroup Forum. 2011. V. 82, N 2. P. 261--270.
    http://www.springerlink.com

  31. Khusainov A.A. Homology groups of asynchronous systems, Petri nets, and trace languages // Sib. Electron. Mat. Izv. 2012. v. 9. P. 13-44. (Russian)
    http://mi.mathnet.ru/eng/semr341

  32. Husainov A.A. The cubical homology of trace monoids // Far Eastern Math. Journal. 2012. V. 12, N 1. p. 108--122.
    http://mi.mathnet.ru/eng/dvmg/v12/i1/p108

  33. Khusainov A.A. The global dimension of polynomial categories in partially commuting variables // Sib. Math. J. 2012. V. 53, N 4. 757-762 Springer

  34. Husainov A.A. The homology groups of a trace monoid partial action category // Proceedings of the Oryol State University. Series: Natural, Technical and Medical Sciences. 2012. N 6. Part 2. 237-244. (Russian)

  35. Kudryashova E.S., Khusainov A.A. Generalized Asynchronous Systems // Modeling and analysis of information systems. 2012. v. 19, N 4. P. 78--86. (Russian)
    http://mi.mathnet.ru/eng/mais/v19/i4/p78
  36. Husainov A.A., Bushmeleva E.S., Trishina T.A. Homology Groups of a Pipeline Petri Net // Modeling and analysis of information systems. 2013. v. 20, N 2. P. 92--103. (Russian)
    http://mi.mathnet.ru/eng/mais/v20/i2/p92
  37. Khusainov A.A., Mikhailov N.V. A Foata normal form and its application for the purpose of accelerating computations by a multi-GPU // Scholarly Notes of KnASTU, V.1,N 4 (16), 2013. P. 35--39 (Russian).
    elibrary.ru
  38. Husainov A.A. The Homology of Partial Monoid Actions and Petri Nets // Appl. Categor. Struct. 2013. V.21, N 6. P.587--615. Springer

  39. Husainov A.A. Cubical Sets and Trace Monoid Actions // The Scientific World Journal, vol. 2013, Article ID 285071, 9 pages, 2013. doi:10.1155/2013/285071 Hindawi

  40. Kudryashova E. S., Husainov A. A. Timed estimates and homomorphisms of asynchronous systems // Science and Edication: Electronic Scientific and Technical Journal. N 1, 2014. С. 134-149. (Russian)
    http://technomag.bmstu.ru/doc/695993
  41. Kudryashova E., Mikhailova N., Husainov A. Modeling of pipeline and wave computations // Naukovedenie. N 1, 2014. P. 1-12. (Russian)
    http://naukovedenie.ru/PDF
  42. Husainov A.A. Homology and Bisimulation of Asynchronous Transition Systems and Petri Nets // Siberian Electronic Mathematical Reports. 2014. V. 11. P. 863--877. http://mi.mathnet.ru/eng/semr529

  43. Khusainov A.A., Kudryashova E.S. Time calculation and tracing the wave circuits of parallel computing // Natural and technical sciences. 2014. V.77, N 9-10. P.294-302. (Russian)

  44. Husainov A. Category of asynchronous systems and polygonal morphisms // Journal of Semigroup Theory and Applications, Vol 2016 (2016), Article ID 8. (London, SCIK Publishing Corporation)
    scik.org/index.php/jsta

  45. Husainov A.A., Shpuntenko A.S. The performance of a computational multi-pipeline // Naukovedenie, Vol. 9, No. 2 (2017). (Russian)
    naukovedenie.ru/PDF

  46. Khusainov A.A., Titova E.A. Optimal depth of the computational pipeline for a given amount of input data // Computational Technologies. 2018. Vol. 23, No. 1. P. 96-104. (Russian)

  47. Khusainov A.A., Manokhina N.N. The optimum depth for a pipeline with hazards // Natural and technical sciences. 2018. V.116, N 2. P.170-175. (Russian)

  48. Husainov A.A. Homology Groups of Cubical Sets // Appl. Categor. Struct. 2019. V.27, N 2. P.199--216. Springer

  49. Khusainov A.A. Calculation of data processing time for an acyclic wavefront array processor // Journal of Physics: Conference Series. 1333 (2019) 022006. IOP

  50. Khusainov A.A. Performance of the bounded pipeline // Informatics and Applications. 2020. V. 14, N 1. P. 87--93. http://www.ipiran.ru
  51. Khusainov A.A. Critical pipeline of the acyclic wave processor // Journal of Physics: Conference Series. 1661 (2020) 012144. IOP
  52. Khusainov A.A. (2021) Models for Calculating Pipeline Performance with Data Hazards. In: Shakirova O.G., Bashkov O.V., Khusainov A.A. (eds) Current Problems and Ways of Industry Development: Equipment and Technologies. Lecture Notes in Networks and Systems, vol 200. Springer, Cham. pp 632-642. Springer
  53. Khusainov A.A. Performance of a computing pipeline with data hazards and different stage time delays // Journal of Physics: Conference Series. 2032 (2021) 012015. IOP
 Preprints

 

  1. Husainov A., Pancar A., Yapici M. On Ext in the Category of Functors to Preabelian Category // Preprint, Cornell Univ. 2001. 11 pp.
    http://arxiv.org/abs/math.CT/0103193

  2. Husainov A.A., Calisici H. Flows in Graphs and Homology of Free Categories // Preprint, Cornell Univ. 2001. 11 pp.
    http://arxiv.org/abs/math.CT/0106146

  3. Husainov A.A. The study of distributed computing algorithms by multithread applications // Preprint, Cornell Univ. 2004. 17 pp.
    http://arxiv.org/abs/cs.DC/0404015

  4. Husainov A.A. On the cubical homology groups of free partially commutative monoids // Preprint, Cornell Univ. 2006. 51 pp.
    http://arxiv.org/abs/math.CT/0611011

  5. Husainov A.A. Global Dimension of Polynomial Rings in Partially Commuting Variables // Preprint 0809.4518v1 [math.CT], Cornell Univ. 2008. 11 pp.
    http://arxiv.org/abs/0809.4518 v1

  6. Husainov A.A. Cubical Homology of Asynchronous Transition Systems // Preprint 0905.1194v1 [math.KT], Cornell Univ. 2009. 21 pp.
    http://arxiv.org/abs/0905.1194 v1

  7. Husainov A.A. The Cubical Homology of Trace Monoids // Preprint 1110.6293v1 [math.AT], Cornell Univ. 2011. 21 pp.
    http://arxiv.org/abs/1110.6293 v1

  8. Husainov A.A. The Homology Groups of a Partial Trace Monoid Action // Preprint 1111.0854v1 [math.AT], Cornell Univ. 2011. 30 pp.
    http://arxiv.org/abs/1111.0854 v1

  9. Husainov A.A., Kudryashova E.S. Generalized Asynchronous Systems // Preprint, arXiv:1203.3098v1 [cs.DC], Cornell Univ. 2012. 8 pp.
    http://arxiv.org/abs/1203.3098 v1

  10. Husainov A.A., Bushmeleva E.S., Trishina T.A. Homology Groups of Pipeline Petri Nets // Preprint, arXiv:1301.7521v2 [cs.LO], Cornell Univ. 2013. 13 pp.
    http://arxiv.org/abs/1301.7521 v2

  11. Husainov A.A., Kudryashova E.S. Time Estimation Model of Concurrent Computing Systems // Preprint, arXiv:1305.2744v1 [cs.LO], Cornell Univ. 2013. 6 pp.
    http://arxiv.org/abs/1305.2744 v1

  12. Husainov A.A. Homology and bisimulation of asynchronous transition systems and Petri nets // Preprint, arXiv:1307.5377v1 [cs.LO], Cornell Univ. 2013. 21 pp.
    http://arxiv.org/abs/1307.5377 v1

  13. Husainov A.A. Category of asynchronous systems and polygonal morphisms // Preprint, arXiv:1308.1443v1 [cs.LO], Cornell Univ. 2013. 18 pp.
    http://arxiv.org/abs/1308.1443 v1

  14. Husainov A.A. Homology groups of cubical sets // Preprint, arXiv:1801.03324 [math.AT], Cornell Univ. 2018. 24 pp.
    http://arxiv.org/abs/1801.03324v1

  15. Husainov A.A. Optimum depth of the bounded pipeline // Preprint, arXiv:1807.11022 [cs.DC], Cornell Univ. 2018. 11 pp.
    http://arxiv.org/abs/1807.11022v1

  16. Husainov A.A. Homology and cohomology of cubical sets with coefficients in systems of objects // Preprint, arXiv:2207.07233 [math.AT], Cornell Univ. 2022. 62 pp.
    https://arxiv.org/abs/2207.07233

  17. Husainov A.A. Non-Abelian homology and homotopy colimit of classifying spaces for a diagram of groups // Preprint, arXiv:2303.10822 [math.AT], Cornell Univ. 2023. 32 pp.
    https://arxiv.org/abs/2303.10822

  18. Husainov A.A. Criteria for preserving the category cohomology for the inverse image // Preprint, arXiv:2306.12683 [math.CT], Cornell Univ. 2023. 32 pp.
    http://arxiv.org/abs/2306.12683

  19. Husainov A.A. Homotopy cofinality for Non-Abelian homology of group diagrams // Preprint, arXiv:2307.01726 [math.CT], Cornell Univ. 2023. 25 pp.
    https://arxiv.org/abs/2307.01726

  20. Husainov A.A. Cech cohomology of partially ordered sets // Preprint, arXiv:2310.05577 [math.AT], Cornell Univ. 2023. 34 pp.
    https://arxiv.org/abs/2310.05577

 Textbooks

 

  1. Husainov A.A., Mikhailova N.N. Algorithms of computer graphics and their realizations in C. – Komsomolsk-na-Amure: Komsomolsk-na-Amure State Technical University, 1999. 65 pp. (Russian)

  2. Husainov A.A., Mikhailova N.N. Human-computer interaction. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2002. 89 p. (Russian)

  3. Husainov A.A., Mikhailova N.N. Mathematical logic and theory of algorithms. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2003. 95 pp. (Russian)

  4. Husainov A.A., Mikhailova N.N. Organization of Computers and Systems. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2005. 89 pp. (Russian)

  5. Husainov A.A., Mikhailova N.N. Computer Graphics. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2006. 126 pp. (Russian)

  6. Husainov A.A., Mikhailova N.N. Object Oriented Programming. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2006. 134 pp. (Russian)

  7. Husainov A.A., Mikhailova N.N. Data Structures and Algorithms. Part 1. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2007. 86 pp. (Russian)

  8. Husainov A.A., Mikhailova N.N. Data Structures and Algorithms. Part 2. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2007. 94 pp. (Russian)

  9. Husainov A.A., Mikhailova N.N. Architecture of computing systems. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2007. 123 pp. (Russian)

  10. Husainov A.A., Mikhailova N.N. Interactive Graphical Systems. Theory. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2007. 132 pp. (Russian)

  11. Husainov A.A., Mikhailova N.N. Interactive Graphical Systems. Practice. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2007. 52 pp. (Russian)

  12. Husainov A.A., Mikhailova N.N. Graphics programming in Borland C++ Builder. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2009. 68 pp. (Russian)

  13. Husainov A.A. Discrete Mathematics. – Komsomolsk-na-Amure: Amur State University of Humanities and Pedagogy, 2010. 77 pp. (Russian)

  14. Husainov A.A., Mikhailova N.N. Computer Graphics for Engineer. – Komsomolsk-na-Amure: GOUVPO "KnAGTU", 2011. 87 pp. (Russian)

  15. Husainov A.A., Mikhailova N.N. Computers and peripherals. – Komsomolsk-na-Amure: FGBOU VPO "KnAGTU", 2012. 91 pp. (Russian)

  16. Husainov A.A., Mikhailova N.N. Discrete Mathematics. – Komsomolsk-na-Amure: FGBOU VPO "KnAGTU", 2012. 77 pp. (Russian)

  17. Husainov A.A., Mikhailova N.N. Development of the human-machine interface. – Komsomolsk-na-Amure: FGBOU VPO "KnAGTU", 2013. 137 pp. (Russian)
All rights reserved.©     Ahmet A. Husainov 2009.