某些不动点代数的LOEWY结构（下）

IF 0.5 Q3 MATHEMATICS

International Electronic Journal of Algebra Pub Date : 2019-12-06 DOI:10.24330/ieja.969577

T. Breuer, L'aszl'o H'ethelyi, Erzs'ebet Horv'ath, B. Kulshammer

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引用次数: 1

摘要

在本文的第一部分中，我们引入了一类域上有限维的特定代数。所有这些代数都是分裂的、对称的和局部的。在这里，我们继续研究它们的Loewy结构。我们证明了在许多情况下，它们的Loewy长度等于第一部分中建立的上界，但我们也构造了具有严格不等式的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

THE LOEWY STRUCTURE OF CERTAIN FIXPOINT ALGEBRAS, PART II

In Part I of this paper, we introduced a class of certain algebras of finite dimension over a field. All these algebras are split, symmetric and local. Here we continue to investigate their Loewy structure. We show that in many cases their Loewy length is equal to an upper bound established in Part I, but we also construct examples where we have a strict inequality.

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来源期刊

International Electronic Journal of Algebra MATHEMATICS-

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

36 weeks

期刊介绍： The International Electronic Journal of Algebra is published twice a year. IEJA is reviewed by Mathematical Reviews, MathSciNet, Zentralblatt MATH, Current Mathematical Publications. IEJA seeks previously unpublished papers that contain: Module theory Ring theory Group theory Algebras Comodules Corings Coalgebras Representation theory Number theory.