Basic semigroups: theory and applications

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Ponizovskii, J.S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156583
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Basic semigroups: theory and applications / J.S. Ponizovskii // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 60–65. — Бібліогр.: 7 назв. — англ.

A concept of basic matrix semigroups over fields (with some variations) is introduced and throughly investigated. Sections 1 and 2 contain main definitions, Section 3 treats some properties of basic semigroups, Section 4 is devoted to some application of basic semigroups: matrix representations (...