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We study identities in vector spaces embedded in finite associative linear algebras. We prove that the L-variety generated by the space of second order matrices over a finite field possesses… Click to show full abstract
We study identities in vector spaces embedded in finite associative linear algebras. We prove that the L-variety generated by the space of second order matrices over a finite field possesses finitely many L-subvarieties. We construct examples of a finite two-dimensional vector space, a finite four-dimensional linear algebra, and a ring consisting of 16 elements that have no finite basis of identities.
Keywords:
finite associative;
identities vector;
vector spaces;
embedded finite;
spaces embedded
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!