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 |
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Pages (from-to) | 19-50 |
Number of pages | 32 |
Journal | Advances in Group Theory and Applications |
Volume | 17 |
DOIs | |
Publication status | Published - Dec 2023 |
Keywords
- Rota–Baxter operator
- descent cohomology
- factorization
- monoid
ASJC Scopus subject areas
- Algebra and Number Theory