The global dimension of polynomial categories in partially commuting variables

DOI10.1134/S0037446612040179zbMath1263.18009MaRDI QIDQ1760549

Ahmet A. Khusainov

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

global dimensionfree partially commutative monoidtrace monoidcohomology of small categoriespolynomial category

Mathematics Subject Classification ID

Homological dimension (category-theoretic aspects) (18G20)

Cites Work

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• The global dimension of a trace monoid ring
• On partial cohomologies of semigroups
• Cohomology of small categories
• On the homology of small categories and asynchronous transition systems
• Rings with several objects
• Cubical homology and the Leech dimension of free partially commutative monoids
• Determination of a class of Poincaré series.
• Some applications of module theory to functor categories
• On extension groups in the category of Abelian diagrams