The Length of a Direct Sum of Nonassociative Algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04929-4
Abstract: A lower and an upper bounds for the length of a direct sum of nonassociative algebras are obtained, and their sharpness is established. Note that while the lower bound for the length of a direct… read more here.
Keywords: direct sum; sum nonassociative; length direct; nonassociative algebras ... See more keywords
Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11030131
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.… read more here.
Keywords: modules nonassociative; algebras modules; extensions nonassociative; modules metagroup ... See more keywords
Nonassociative Algebras, Rings and Modules over Them
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11071714
Abstract: The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with… read more here.
Keywords: modules nonassociative; rings modules; algebras modules; algebras rings ... See more keywords