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.

中文翻译：

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带超对合代数的余字符重数

摘要 在本文中，我们处理具有超对合的有限生成超代数，满足非平凡恒等式，其共字符的多重性受常数限制。一路上，我们证明了这些代数的余维序列是多项式有界的，当且仅当它们的共长序列受一个常数的限制。