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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… Click to show full 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 sum in the associative and nonassociative cases turns out to be the same, the upper bound in the nonassociative case significantly exceeds its associative counterpart.
Keywords:
direct sum;
sum nonassociative;
length direct;
nonassociative algebras
Journal Title: Journal of Mathematical Sciences
Year Published: 2020
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Journal Title: Journal of Mathematical Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!