On the Semigroup of Square Matrices-Reference-Cited by-同舟云学术

On the Semigroup of Square Matrices

Published:2008-03 Issue:01 Volume:15 Page:33-52
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Kudryavtseva Ganna¹,Mazorchuk Volodymyr²

Affiliation:

1. Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., UA-01033 Kyiv, Ukraine

2. Department of Mathematics, Uppsala University, Box 480, SE-75106 Uppsala, Sweden

Abstract

We study the structure of nilpotent subsemigroups in the semigroup M(n,𝔽) of all n×n matrices over a field 𝔽 with respect to the operation of the usual matrix multiplication. We describe the maximal subsemigroups among the nilpotent subsemigroups of a fixed nilpotency degree and classify them up to isomorphism. We also describe isolated and completely isolated subsemigroups and conjugated elements in M(n,𝔽).

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386708000047

Reference19 articles.

1. Mathematical Surveys, No. 7;Clifford A.,1961

2. Algebra II Ring Theory

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