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 language | English |
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Article number | 2550053 |
Journal | Journal of Algebra and its Applications |
DOIs | |
Publication status | Accepted/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