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Your search keyword '"O. V. Markova"' showing total 2 results
Start Over Author "O. V. Markova" Publisher pleiades publishing ltd
2 results on '"O. V. Markova"'

1. On the relationship between the length of an algebra and the index of nilpotency of its Jacobson radical

Author

O. V. Markova

Subjects
Symmetric algebra, Pure mathematics, Semisimple algebra, General Mathematics, Mathematics::Rings and Algebras, Subalgebra, Jacobson radical, Filtered algebra, Algebra, Division algebra, Cellular algebra, Nakayama lemma, Physics::Chemical Physics, Mathematics
Abstract

A sharp upper bound for the length of an algebra as a function of the index of nilpotency of its Jacobson radical and the length of the quotient algebra by the radical is obtained.

Published
2013
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2. On some properties of the length function

Author

O. V. Markova

Subjects
Finitely generated algebra, Discrete mathematics, Quadratic algebra, Pure mathematics, Classification of Clifford algebras, General Mathematics, Clifford algebra, Subalgebra, Division algebra, Algebra representation, Boolean algebras canonically defined, Mathematics
Abstract

We study the length of constructions such as a quotient algebra, a direct sum of algebras, and a subalgebra, which occur in the classical Birkhoff theorem. An upper bound for the length of local algebras is obtained.

Published
2010
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