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A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions… Click to show full abstract
A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are scrutinized. For this purpose tensor products of modules and induced modules over nonassociative algebras are investigated. Moreover, a developed cohomology theory on them is used.
Keywords:
modules nonassociative;
algebras modules;
extensions nonassociative;
modules metagroup;
splitting extensions;
nonassociative algebras
Journal Title: Axioms
Year Published: 2022
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Journal Title: Axioms
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!