Projective indecomposable modules and quivers for monoid algebras

Stuart Margolis; Benjamin Steinberg

doi:10.1080/00927872.2018.1448841

Projective indecomposable modules and quivers for monoid algebras

Stuart Margolis, Benjamin Steinberg

Department of Mathematics

City University of New York

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We give a construction of the projective indecomposable modules and a description of the quiver for a large class of monoid algebras including the algebra of any finite monoid whose principal right ideals have at most one idempotent generator. Our results include essentially all families of finite monoids for which this has been done previously, for example, left regular bands, 𝒥-trivial and ℛ-trivial monoids and left regular bands of groups.

Original language	English
Pages (from-to)	5116-5135
Number of pages	20
Journal	Communications in Algebra
Volume	46
Issue number	12
DOIs	https://doi.org/10.1080/00927872.2018.1448841
State	Published - 2 Dec 2018

Bibliographical note

Publisher Copyright:
© 2018, © 2018 Taylor & Francis.

Funding

The authors were supported by United States-Israel Binational Science Foundation #2012080 and the second author was supported by NSA MSP #H98230-16-1-0047.

Funders	Funder number
NSA MSP	98230-16-1-0047
United States-Israel Binational Science Foundation	2012080

Keywords

Fountain monoid
Monoid algebra
projective modules
quivers

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10.1080/00927872.2018.1448841

Cite this

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Projective indecomposable modules and quivers for monoid algebras

Abstract

Bibliographical note

Funding

Keywords

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