Separability of metagroup algebras
S.V. Ludkowski
TL;DR
This paper investigates the conditions under which nonassociative metagroup algebras are separable, utilizing cohomology theory to establish criteria and describe such algebras.
Contribution
It introduces new conditions for separability of nonassociative metagroup algebras using cohomology theory and characterizes algebras satisfying these conditions.
Findings
Identified conditions for separability of nonassociative metagroup algebras.
Described classes of algebras satisfying these separability conditions.
Utilized cohomology theory as a tool for analysis.
Abstract
For a class of nonassociative metagroup algebras their separability is investigated. For this purpose the cohomology theory on them is utilized. Conditions are found under which nonassociative metagroup algebras are separable. Algebras satisfying these conditions are described.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Topics in Algebra · Holomorphic and Operator Theory