ON EXISTENCE OF PI-EXPONENTS OF CODIMENSION GROWTH

Q3 Mathematics Electronic Research Announcements in Mathematical Sciences Pub Date : 2014-06-01 DOI:10.3934/ERA.2014.21.113

M. Zaicev

引用次数: 20

Abstract

We construct a family of examples of non-associative algebras $\{R_\alpha \,\vert\, 1<\alpha\in\mathbb R\}$ such that $\underline{\exp}(R_\alpha)=1$, $\overline{\exp}(R_\alpha)=\alpha$. In particular, it follows that for any $R_\alpha$, an ordinary PI-exponent of codimension growth does not exist.

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余维增长的指数的存在性

我们构造了一组非结合代数$\{R_\alpha \,\vert\, 1<\alpha\in\mathbb R\}$的例子，使得$\underline{\exp}(R_\alpha)=1$, $\overline{\exp}(R_\alpha)=\alpha$。特别地，对于任何$R_\alpha$，一般的协维增长pi指数都不存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007

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