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关于上三角无穷矩阵环中幂级数积的说明

IF 0.9 4区 数学 Q2 MATHEMATICS
Linear & Multilinear Algebra Pub Date : 2024-01-16 DOI:10.1080/03081087.2024.2303727
Roksana Słowik
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引用次数: 0

摘要

众所周知，在一个域上定义的每个有限度奇异矩阵都可以写成有限个幂等矩阵的乘积。在这一结果的启发下，我们研究了同...
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A note on products of idempotents in the ring of upper triangular infinite matrices
It is known that every singular matrix of a finite degree defined over a field can be written as a product of a finite number of idempotent matrices. Insipired by this result we investigate the sam...
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来源期刊
Linear & Multilinear Algebra
Linear & Multilinear Algebra 数学-数学
CiteScore
2.70
自引率
18.20%
发文量
175
审稿时长
4-8 weeks
期刊介绍： Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.
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