On Amitsur cohomology of monads

A. Al-Rawashdeh, B. Mesablishvili

Research output: Contribution to journalArticlepeer-review


We introduce and study zero and one-dimensional non-abelian Amitsur cohomology theory for monads equipped with involutive distributive law satisfying the Yang-Baxter equation. Some applications to extensions of (non-commutative) rings and Banach algebras are given.

Original languageEnglish
Article number2550053
JournalJournal of Algebra and its Applications
Publication statusAccepted/In press - 2023


  • Amitsur cohomology
  • Monad
  • descent data
  • non-abelian cohomology
  • symmetry operator
  • twisted form

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics


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