实数域上重复代数的表示类型

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s1005386723000251

Mengdie Zhang, Chaowen Zhang

引用次数: 0

摘要

设[公式:见文本]为实数域上的有限维代数。证明了重复代数[公式:见文]承认表示类型的二分性，即[公式:见文]要么是离散表示类型，要么是强无界类型。

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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The Representation Type of Repetitive Algebras over the Real Number Field

Let [Formula: see text] be a finite-dimensional algebra over the real number field. We prove that the repetitive algebra [Formula: see text] admits the dichotomy property of representation type, i.e., [Formula: see text] is either of discrete representation type or of strongly unbounded type.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.