Quasi-Projections and Factorizations of Monoids

A. Al-Rawashdeh; B. Mesablishvili

doi:10.32037/agta-2023-014

Quasi-Projections and Factorizations of Monoids

A. Al-Rawashdeh
, B. Mesablishvili

Department of Mathematical Sciences

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

Abstract

The notions of left and right quasi-projections on a monoid are introduced. They are used to give a full classification of factorizations of monoids in terms of complemen-tary pairs of quasi-projections. Connections with descent 1-cocycles and Rota–Baxter operators on groups are established.

Original language	English
Pages (from-to)	19-50
Number of pages	32
Journal	Advances in Group Theory and Applications
Volume	17
DOIs	https://doi.org/10.32037/agta-2023-014
Publication status	Published - Dec 2023

Keywords

Rota–Baxter operator
descent cohomology
factorization
monoid

ASJC Scopus subject areas

Algebra and Number Theory

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10.32037/agta-2023-014

Cite this

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AB - The notions of left and right quasi-projections on a monoid are introduced. They are used to give a full classification of factorizations of monoids in terms of complemen-tary pairs of quasi-projections. Connections with descent 1-cocycles and Rota–Baxter operators on groups are established.

KW - Rota–Baxter operator

KW - descent cohomology

KW - factorization

KW - monoid

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JO - Advances in Group Theory and Applications

JF - Advances in Group Theory and Applications

ER -

Quasi-Projections and Factorizations of Monoids

Abstract

Keywords

ASJC Scopus subject areas

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