Quasi-Projections and Factorizations of Monoids

A. Al-Rawashdeh, B. Mesablishvili

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)19-50
Number of pages32
JournalAdvances in Group Theory and Applications
Publication statusPublished - Dec 2023


  • Rota–Baxter operator
  • descent cohomology
  • factorization
  • monoid

ASJC Scopus subject areas

  • Algebra and Number Theory


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