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:...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2004 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631045248057344 |
|---|---|
| author | Ponizovskii, J.S. |
| author_facet | Ponizovskii, J.S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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).
|
| first_indexed | 2025-11-30T11:10:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156583 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T11:10:43Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Basic semigroups: theory and applications Ponizovskii, J.S. |
| title | 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_short | Basic semigroups: theory and applications |
| title_sort | basic semigroups: theory and applications |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156583 |
| work_keys_str_mv | AT ponizovskiijs basicsemigroupstheoryandapplications |