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 called char...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
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| 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On characteristic properties of semigroups |
| spellingShingle |
On characteristic properties of semigroups Bondarenko, V.M. Zaciha, Ya.V. |
| title_short |
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_sort |
on characteristic properties of semigroups |
| author |
Bondarenko, V.M. Zaciha, Ya.V. |
| author_facet |
Bondarenko, V.M. Zaciha, Ya.V. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157998 |
| 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. |
| work_keys_str_mv |
AT bondarenkovm oncharacteristicpropertiesofsemigroups AT zacihayav oncharacteristicpropertiesofsemigroups |
| first_indexed |
2025-11-30T17:46:42Z |
| last_indexed |
2025-11-30T17:46:42Z |
| _version_ |
1850858333951492096 |