Year: 2012
Type: article
Abstract: Let A be a singular matrix of M n (š¯•‚), where š¯•‚ is an arbitrary field. Using canonical forms, we give a new proof that the sub-semigroup of ( n (š¯•‚), Ć—) generated by the similarity class of A is the set of matrices of M n (š¯•‚) with a rank lesser than or equal to that of A.
Source: Communications in Algebra
Author: ClƩment de Seguins Pazzis
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1983672944