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Local centrally essential subalgebras of triangular algebras
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2020-08-04 , DOI: 10.1080/03081087.2020.1802402
O. V. Lyubimtsev 1 , A. A. Tuganbaev 1, 2
Affiliation  

ABSTRACT

We study local centrally essential subalgebras in the algebra of all upper triangular matrices over a field of characteristic 2. It is proved that the algebras of upper triangular 3×3 or 4×4 matrices have only commutative local centrally essential subalgebras. Every algebra of upper triangular matrices of order exceeding 6 contains a non-commutative local centrally essential subalgebra.



中文翻译:

三角代数的局部中心本质子代数

摘要

我们研究了特征域上所有上三角矩阵代数中的局部中心本质子代数2. 证明了上三角代数3×3或者4×4矩阵只有可交换的局部中心本质子代数。每个超过 6 阶的上三角矩阵的代数都包含一个非交换局部中心本质子代数。

更新日期:2020-08-04
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