The global dimension of the full transformation monoid (with an appendix by V. Mazorchuk and B. Steinberg)

DOI10.1007/s10468-016-9597-4zbMath1354.20037arXiv1502.00959OpenAlexW2962923530MaRDI QIDQ295908

Benjamin Steinberg

Publication date: 14 June 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00959

zbMATH Keywords

representation theoryglobal dimensionfull transformation monoid

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Homological dimension in associative algebras (16E10) Representation of semigroups; actions of semigroups on sets (20M30) Representation theory of associative rings and algebras (16G99)

Related Items (4)

The representation theory of the monoid of all partial functions on a set and related monoids as EI-category algebras. ⋮ Classifying global dimensions of category algebras of some finite combinational categories ⋮ The global dimension of the algebra of the monoid of all partial functions on an \(n\)-set as the algebra of the EI-category of epimorphisms between subsets ⋮ Simplicity of augmentation submodules for transformation monoids

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