On the Brauer monoid for finite fields
V. V. Kirichenko, B. V. Novikov
TL;DR
This paper explores the structure of the Brauer monoid over finite fields using 0-cohomology, focusing on how invertible elements influence its properties.
Contribution
It introduces a new approach to studying the Brauer monoid via 0-cohomology and analyzes the role of invertible elements in finite field cases.
Findings
Invertible elements significantly affect the structure of the Brauer monoid.
The paper provides new insights into the algebraic properties of the Brauer monoid over finite fields.
Abstract
The Brauer monoid is studied by the notion of 0-cohomology. We investigate the impact of invertible elements of modifications on the structure of the Brauer monoid, especially for finite fields.
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Taxonomy
TopicsRings, Modules, and Algebras · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications