THE HOMOLOGICAL FINITENESS PROPERTY FP1 AND FINITE GENERATION OF MONOIDS

DOI10.1142/S0218196707003743zbMath1123.20058MaRDI QIDQ5297226

Yuji Kobayashi

Publication date: 18 July 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

inverse monoidsfree resolutionsmonoid ringshomological finiteness propertiesfinitely generated monoids

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25) Connections of semigroups with homological algebra and category theory (20M50)

Related Items (6)

Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry ⋮ Topological finiteness properties of monoids. I: Foundations ⋮ Homological finiteness properties of monoids, their ideals and maximal subgroups. ⋮ The Homological Finiteness Properties Left-, Right-, and Bi-FP_nof Monoids ⋮ Monoid properties as invariants of toposes of monoid actions ⋮ Semigroups with finitely generated universal left congruence

Cites Work

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• Word problems and a homological finiteness condition for monoids
• For finitely presented monoids the homological finiteness conditions FHT and \(\text{bi-FP}_3\) coincide
• Epimorphisms and dominions. II
• A Monoid which is Right FP _∞ but not Left FP ₁
• Homological Finiteness Conditions for Groups, Monoids, and Algebras
• On the Left and Right Cohomological Dimension of Monoids
• ON HOMOTOPICAL AND HOMOLOGICAL FINITENESS CONDITIONS FOR FINITELY PRESENTED MONOIDS

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