Cohomological Dimension of an Abelian Monoid

DOI10.2307/2043420zbMath0448.18011OpenAlexW4250298170MaRDI QIDQ3894089

Jay Shapiro, Charles Ching-An Cheng

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043420

zbMATH Keywords

torsioncohomological dimensionhomological dimensionAbelian monoidgroup reflection

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological dimension (category-theoretic aspects) (18G20) Semigroup rings, multiplicative semigroups of rings (20M25) Connections of semigroups with homological algebra and category theory (20M50) Homological dimension in associative algebras (16E10) Homological methods in associative algebras (16Exx)

Related Items (3)

A Converse of the Hilbert Syzygy Theorem ⋮ Unnamed Item ⋮ Exact limits

Cites Work

• Rings with several objects
• A counterexample in the cohomology of monoids
• The global dimension of the group rings of abelian groups III
• Note on the Projective Limit on Small Categories
• Groups of cohomological dimension one
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