6533b82bfe1ef96bd128cd5d

RESEARCH PRODUCT

On Codimensions of Algebras with Involution

Daniela La Mattina

subject

Polynomial (hyperelastic model)CombinatoricsSequenceSettore MAT/02 - Algebra*-identitiesAssociative algebraZero (complex analysis)Involution (philosophy)Field (mathematics)*-codimensionsGrowthMathematics

description

Let A be an associative algebra with involution ∗ over a field F of characteristic zero. One associates to A, in a natural way, a numerical sequence \(c^{\ast }_n(A),\)n = 1, 2, …, called the sequence of ∗-codimensions of A which is the main tool for the quantitative investigation of the polynomial identities satisfied by A. In this paper we focus our attention on \(c^{\ast }_n(A),\)n = 1, 2, …, by presenting some recent results about it.

10.1007/978-3-030-63111-6_13http://hdl.handle.net/10447/511129