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On characteristic properties of semigroups

Vernadsky National Library of Ukraine

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Title On characteristic properties of semigroups
 
Creator Bondarenko, V.M.
Zaciha, Ya.V.
 
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.
 
Date 2019-06-22T12:10:55Z
2019-06-22T12:10:55Z
2015
 
Type Article
 
Identifier 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.
http://dspace.nbuv.gov.ua/handle/123456789/157998
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України