On Star-Varieties with Almost Polynomial Growth

• 来源期刊: 代数集刊（英文版）
• 学科: 数学
• 关键词: algebras with involution polynomial identities growth
• 年，卷（期）: 2001,（1）
• 页码范围: 33-42
• 页数: 10页
• 分类号: O1
• 语种: 英文

摘要

Let 2 be a variety of algebras with involution * over a field of characteristic zero and cn(V, *) the corresponding sequence of *-codimensions. Here,we characterize those varieties V such that cn (V, *) is polynomially bounded. We prove that V is such a variety if and only if G2,M V, where G2 and M are two explicit finite-dimensional algebras with involution previously constructed. It follows that G2 and M generate the only two varieties of algebras with involution with almost polynomial growth and there is no variety with intermediate growth.