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Algebra and Discrete Mathematics, 2004, Issue 4, Pages 60–65
(Mi adm360)
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RESEARCH ARTICLE
Basic semigroups: theory and applications
J. S. Ponizovskii Russian State Hydrometeororlogical University, Department of Mathematics, Malookhtinsky pr. 98, 195196
St-Peterburg, Russia
Abstract:
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 (including faithful representations), finiteness theorems, the problem of Korjakov (when a matrix semigroup over field $K$ is conjugate to a matrix semigroup over a proper subfield of $K$). The paper is a survey and contains no proofs (which may be found in papers from References).
Received: 21.05.2004 Revised: 06.12.2004
Citation:
J. S. Ponizovskii, “Basic semigroups: theory and applications”, Algebra Discrete Math., 2004, no. 4, 60–65
Linking options:
https://www.mathnet.ru/eng/adm360 https://www.mathnet.ru/eng/adm/y2004/i4/p60
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Abstract page: | 118 | Full-text PDF : | 62 | First page: | 1 |
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