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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 cha\-racteristic for a semigroup S∈ K if, up to isomorphism and anti-isomorphism, S is the only semigroup in K, which satisfies all the properties from Q. The set of properties P is call...
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Інститут прикладної математики і механіки НАН України
2015
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154755 |
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irk-123456789-1547552019-06-16T01:31:20Z On characteristic properties of semigroups Bondarenko, V.M. Zaciha, Y.V. Let K be a class of semigroups and P be a set of general properties of semigroups. We call a subset Q of P cha\-racteristic for a semigroup S∈ K if, up to isomorphism and anti-isomorphism, 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 setfor the class of semigroups of order 3. 2015 Article On characteristic properties of semigroups / V.M. Bondarenko, Y.V. Zaciha // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 32-39. — Бібліогр.: 1 назв. — англ. 1726-3255 2010 MSC:20M http://dspace.nbuv.gov.ua/handle/123456789/154755 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 cha\-racteristic for a semigroup S∈ K if, up to isomorphism and anti-isomorphism, 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 setfor the class of semigroups of order 3. |
| format |
Article |
| author |
Bondarenko, V.M. Zaciha, Y.V. |
| spellingShingle |
Bondarenko, V.M. Zaciha, Y.V. On characteristic properties of semigroups Algebra and Discrete Mathematics |
| author_facet |
Bondarenko, V.M. Zaciha, Y.V. |
| author_sort |
Bondarenko, V.M. |
| title |
On characteristic properties of semigroups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154755 |
| citation_txt |
On characteristic properties of semigroups / V.M. Bondarenko, Y.V. Zaciha // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 32-39. — Бібліогр.: 1 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT bondarenkovm oncharacteristicpropertiesofsemigroups AT zacihayv oncharacteristicpropertiesofsemigroups |
| first_indexed |
2023-05-20T17:45:18Z |
| last_indexed |
2023-05-20T17:45:18Z |
| _version_ |
1796154018607661056 |