On characteristic properties of semigroups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On characteristic properties of semigroups
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| Creator |
Bondarenko, V.M.
Zaciha, Y.V. |
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| 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. |
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| Date |
2019-06-15T19:59:31Z
2019-06-15T19:59:31Z 2015 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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