Local Centrally Essential Subalgebras of Triangular Algebras
Rings and Algebras
2020-07-27 v1
Abstract
We study local centrally essential subalgebras in the algebra of all upper triangular matrices over a field of characteristic . It is proved that the algebras of upper triangular or matrices have only commutative local centrally essential subalgebras. Every algebra of upper triangular matrices of order exceeding contains a non-commutative local centrally essential subalgebra. The paper will appear in Linear and Multilinear Algebra. The work of O.V. Lyubimtsev is done under the state assignment No~0729-2020-0055. A.A. Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013P.
Keywords
Cite
@article{arxiv.2007.12243,
title = {Local Centrally Essential Subalgebras of Triangular Algebras},
author = {O. V. Lyubimtsev and A. A. Tuganbaev},
journal= {arXiv preprint arXiv:2007.12243},
year = {2020}
}