On Amitsur cohomology of monads

A. Al-Rawashdeh; B. Mesablishvili

doi:10.1142/S0219498825500537

On Amitsur cohomology of monads

A. Al-Rawashdeh, B. Mesablishvili

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Article number	2550053
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498825500537
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

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10.1142/S0219498825500537

Cite this

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title = "On Amitsur cohomology of monads",

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.",

keywords = "Amitsur cohomology, descent data, Monad, non-abelian cohomology, symmetry operator, twisted form",

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KW - non-abelian cohomology

KW - symmetry operator

KW - twisted form

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On Amitsur cohomology of monads

Abstract

Keywords

ASJC Scopus subject areas

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