Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

Mikhail Zaicev

doi:10.3103/s0027132215050101

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Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

Mikhail Zaicev

Year: 2015 Journal: Moscow University Mathematics Bulletin Vol: 70 (5)Pages: 234-236 Publisher: Pleiades Publishing

DOI: 10.3103/s0027132215050101

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Abstract

Numerical characteristics of identities in finite-dimensional Z2-algebras are studied in the paper. We prove that the graded colength of any such algebra is a polynomially bounded function.

Keywords:

Mathematics Associative property Bounded function Pure mathematics Identity (music) Function (biology) Algebra over a field Mathematical analysis

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

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