On characteristic properties of semigroups
Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P characteristic for a semigroup S ∈ K if, up to isomorphism and antiisomorphism, S is the only semigroup in K, which satisfies all the properties from Q.
 The set of properties P is cal...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157998 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On characteristic properties of semigroups / V.M. Bondarenko, Ya.V. Zaciha // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 32–39. — Бібліогр.: 1 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635404408127488 |
|---|---|
| author | Bondarenko, V.M. Zaciha, Ya.V. |
| author_facet | Bondarenko, V.M. Zaciha, Ya.V. |
| citation_txt | On characteristic properties of semigroups / V.M. Bondarenko, Ya.V. Zaciha // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 32–39. — Бібліогр.: 1 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P characteristic for a semigroup S ∈ K if, up to isomorphism and antiisomorphism, S is the only semigroup in K, which satisfies all the properties from Q.
The set of properties P is called char-complete for K if for any S ∈ K the set of all properties
P ∈ P, which hold for the semigroup S, is characteristic for S. We indicate a 7-element set of properties of semigroups which is a minimal char-complete set for the class of semigroups of order 3.
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| first_indexed | 2025-11-30T17:46:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157998 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T17:46:42Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bondarenko, V.M. Zaciha, Ya.V. 2019-06-22T12:10:55Z 2019-06-22T12:10:55Z 2015 On characteristic properties of semigroups / V.M. Bondarenko, Ya.V. Zaciha // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 32–39. — Бібліогр.: 1 назв. — англ. 1726-3255 2010 MSC:20M. https://nasplib.isofts.kiev.ua/handle/123456789/157998 Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P characteristic for a semigroup S ∈ K if, up to isomorphism and antiisomorphism, S is the only semigroup in K, which satisfies all the properties from Q.
 The set of properties P is called char-complete for K if for any S ∈ K the set of all properties
 P ∈ P, which hold for the semigroup S, is characteristic for S. We indicate a 7-element set of properties of semigroups which is a minimal char-complete set for the class of semigroups of order 3. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On characteristic properties of semigroups Article published earlier |
| spellingShingle | On characteristic properties of semigroups Bondarenko, V.M. Zaciha, Ya.V. |
| title | On characteristic properties of semigroups |
| title_full | On characteristic properties of semigroups |
| title_fullStr | On characteristic properties of semigroups |
| title_full_unstemmed | On characteristic properties of semigroups |
| title_short | On characteristic properties of semigroups |
| title_sort | on characteristic properties of semigroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157998 |
| work_keys_str_mv | AT bondarenkovm oncharacteristicpropertiesofsemigroups AT zacihayav oncharacteristicpropertiesofsemigroups |