Invertible matrices over a class of semirings
-
Published:2021-12-30
Issue:
Volume:
Page:
-
ISSN:0219-4988
-
Container-title:Journal of Algebra and Its Applications
-
language:en
-
Short-container-title:J. Algebra Appl.
Affiliation:
1. Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia
Abstract
We characterize the invertible matrices over a class of semirings such that the set of additively invertible elements is equal to the set of nilpotent elements. We achieve this by studying the liftings of the orthogonal sums of elements that are “almost idempotent” to those that are idempotent. Finally, we show an application of the obtained results to calculate the diameter of the commuting graph of the group of invertible matrices over the semirings in question.
Funder
javna agencija za raziskovalno dejavnost rs
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Semirings generated by idempotents;Journal of Algebra and Its Applications;2024-05-25