In this paper we deal with finitely generated superalgebras with superinvolution, satisfying a non-trivial identity, whose multiplicities of the cocharacters are bounded by a constant. Along the way, we prove that the codimension sequence of such algebras is polynomially bounded if and only if their colength sequence is bounded by a constant.
Ioppolo, A., Martino, F. (2021). On multiplicities of cocharacters for algebras with superinvolution. JOURNAL OF PURE AND APPLIED ALGEBRA, 225(3 (March 2021)) [10.1016/j.jpaa.2020.106536].
On multiplicities of cocharacters for algebras with superinvolution
Ioppolo A.
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2021
Abstract
In this paper we deal with finitely generated superalgebras with superinvolution, satisfying a non-trivial identity, whose multiplicities of the cocharacters are bounded by a constant. Along the way, we prove that the codimension sequence of such algebras is polynomially bounded if and only if their colength sequence is bounded by a constant.
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