The Homological Finiteness Properties Left-, Right-, and Bi-FPnof Monoids

DOI10.1080/00927872.2010.507562zbMath1222.20041OpenAlexW2159014354MaRDI QIDQ5390543

Yuji Kobayashi

Publication date: 4 April 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.507562

zbMATH Keywords

free productsfree resolutionsfinitely presented monoidshomological finiteness propertiesfinitely generated monoidsstraight submonoids

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

Topological finiteness properties of monoids. I: Foundations, Homological finiteness properties of monoids, their ideals and maximal subgroups., On properties not inherited by monoids from their Schützenberger groups., Semigroups with finitely generated universal left congruence

Cites Work

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• For finitely presented monoids the homological finiteness conditions FHT and \(\text{bi-FP}_3\) coincide
• 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
• THE HOMOLOGICAL FINITENESS PROPERTY FP₁ AND FINITE GENERATION OF MONOIDS