Triangularizable semigroups of matrices

✍ Scribed by Jan Okniński

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 480 KB
• Volume: 262
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)80026-2

✦ Synopsis

Necessary and sufficient conditions for triangularizability of a semigroup S of n × n matrices over a field K are given. They reduce the problem to the case of groups of matrices. It follows also that the global requirements concerning all elements of S can be replaced by "local" conditions concerning the sets of elements of S of the same rank.