Green’s relation ℋ on the monoid of square matrices over a specific local ring
-
Published:2021-05-21
Issue:
Volume:
Page:2250170
-
ISSN:0219-4988
-
Container-title:Journal of Algebra and Its Applications
-
language:en
-
Short-container-title:J. Algebra Appl.
Affiliation:
1. College of Mathematics and Systematic Science, Shenyang Normal University, 253 Huanghe North Street, Shenyang 110034, P. R. China
Abstract
Let [Formula: see text] be a commutative local ring whose maximal ideal is generated by a nilpotent element, and [Formula: see text] be the multiplicative monoid of the square matrices of order [Formula: see text] over [Formula: see text]. In this paper, we provide the construction of Green’s [Formula: see text]-equivalence classes in the multiplicative monoid [Formula: see text]. Then, we enumerate these classes in the special cases [Formula: see text] and [Formula: see text].
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory