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Location: Russian Federation
Work: Homology and cohomology of small categories, partially ordered sets, and monoids. Studying the mathematical models of concurrency by categorical and algebraic topology methods.
Favourite Publications: 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 Husainov A. A. The global dimension of a trace monoid ring // Semigroup Forum. 2011. V. 82, N 2. P. 261--270. 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 Husainov A.A. The Homology of Partial Monoid Actions and Petri Nets // Appl. Categor. Struct. 2012. DOI: 10.1007/s10485-012-9280-9 Springer Khusainov A.A. The global dimension of polynomial categories in partially commuting variables // Sib. Math. J. 2012. V. 53, N 4. 757-762 Springer
Work: Homology and cohomology of small categories, partially ordered sets, and monoids. Studying the mathematical models of concurrency by categorical and algebraic topology methods.
Favourite Publications: 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 Husainov A. A. The global dimension of a trace monoid ring // Semigroup Forum. 2011. V. 82, N 2. P. 261--270. 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 Husainov A.A. The Homology of Partial Monoid Actions and Petri Nets // Appl. Categor. Struct. 2012. DOI: 10.1007/s10485-012-9280-9 Springer Khusainov A.A. The global dimension of polynomial categories in partially commuting variables // Sib. Math. J. 2012. V. 53, N 4. 757-762 Springer