Cohomologies of nonassociative metagroup algebras
Sergey V. Ludkowski
TL;DR
This paper explores the cohomological properties of nonassociative metagroup algebras, examining their extensions and providing illustrative examples to deepen understanding of their algebraic structure.
Contribution
It introduces a study of cohomologies in nonassociative metagroup algebras and investigates their extensions, offering new insights into their algebraic properties.
Findings
Cohomology theories for nonassociative metagroup algebras are developed.
Extensions of metagroup algebras are characterized.
Several examples illustrate the theoretical concepts.
Abstract
Cohomologies of nonassociative metagroup algebras are investigated. Extensions of metagroup algebras are studied. Examples are given.
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Taxonomy
TopicsAdvanced Topics in Algebra