Basic semigroups: theory and applications
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 (...
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| Datum: | 2004 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/156583 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Basic semigroups: theory and applications / J.S. Ponizovskii // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 60–65. — Бібліогр.: 7 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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). |
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