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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2004 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Access: | https://nasplib.isofts.kiev.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| id |
nasplib_isofts_kiev_ua-123456789-156583 |
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Ponizovskii, J.S. 2019-06-18T17:26:05Z 2019-06-18T17:26:05Z 2004 Basic semigroups: theory and applications / J.S. Ponizovskii // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 60–65. — Бібліогр.: 7 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/156583 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Basic semigroups: theory and applications Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Basic semigroups: theory and applications |
| spellingShingle |
Basic semigroups: theory and applications Ponizovskii, J.S. |
| title_short |
Basic semigroups: theory and applications |
| title_full |
Basic semigroups: theory and applications |
| title_fullStr |
Basic semigroups: theory and applications |
| title_full_unstemmed |
Basic semigroups: theory and applications |
| title_sort |
basic semigroups: theory and applications |
| author |
Ponizovskii, J.S. |
| author_facet |
Ponizovskii, J.S. |
| publishDate |
2004 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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).
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/156583 |
| citation_txt |
Basic semigroups: theory and applications / J.S. Ponizovskii // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 4. — С. 60–65. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT ponizovskiijs basicsemigroupstheoryandapplications |
| first_indexed |
2025-11-30T11:10:43Z |
| last_indexed |
2025-11-30T11:10:43Z |
| _version_ |
1850857432035622912 |