On characteristic properties of semigroups

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Authors: Bondarenko, V.M., Zaciha, Ya.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157998
• 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.

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...