On Amitsur cohomology of monads

A. Al-Rawashdeh, B. Mesablishvili

Research output: Contribution to journalArticlepeer-review

Abstract

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
DOIs
Publication statusAccepted/In press - 2023

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On Amitsur cohomology of monads'. Together they form a unique fingerprint.

Cite this