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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| Date: | 2004 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2004
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/156583 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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