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Open AccessArticle

Separability of Nonassociative Algebras with Metagroup Relations

Department of Applied Mathematics, MIREA—Russian Technological University, av. Vernadsky 78, 119454 Moscow, Russia
Axioms 2019, 8(4), 139; https://doi.org/10.3390/axioms8040139
Received: 15 November 2019 / Revised: 6 December 2019 / Accepted: 10 December 2019 / Published: 12 December 2019
(This article belongs to the Special Issue Non-associative Structures and Other Related Structures)
This article is devoted to a class of nonassociative algebras with metagroup relations. This class includes, in particular, generalized Cayley–Dickson algebras. The separability of the nonassociative algebras with metagroup relations is investigated. For this purpose the cohomology theory is utilized. Conditions are found under which such algebras are separable. Algebras satisfying these conditions are described. View Full-Text
Keywords: algebra; nonassociative; separable; ideal; cohomology algebra; nonassociative; separable; ideal; cohomology
MDPI and ACS Style

Ludkowski, S.V. Separability of Nonassociative Algebras with Metagroup Relations. Axioms 2019, 8, 139.

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