On Amitsur cohomology of monads-Reference-Cited by-同舟云学术

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On Amitsur cohomology of monads

Published:2023-09-27 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Al-Rawashdeh A.¹^ORCID,Mesablishvili B.²^ORCID

Affiliation:

1. Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al-Ain, 15551, UAE

2. Department of Mathematics, Faculty of Exact and Natural Sciences, Andrea Razmadze Mathematical Institute of Ivane, Javakhishvili Tbilisi State University, Tbilisi, Georgia

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.

Funder

Post-Doc Grant

Shota Rustaveli National Science Foundation

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498825500537

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