Green’s Relations on Regular Elements of Semigroup of Relational Hypersubstitutions for Algebraic Systems of Type ((m), (n))

Autor:	Jukkrit Daengsaen, Sorasak Leeratanavalee
Rok vydání:	2021
Předmět:	Monoid Discrete mathematics Semigroup Applied Mathematics General Mathematics 010102 general mathematics Green's relations Type (model theory) Term (logic) 01 natural sciences Set (abstract data type) Order (group theory) 0101 mathematics Algebraic number Mathematics
Zdroj:	Tamkang Journal of Mathematics. 53
ISSN:	2073-9826 0049-2930
Popis:	Any relational hypersubstitution for algebraic systems of type (τ,τ′) = ((mi)i∈I,(nj)j∈J) is a mapping which maps any mi-ary operation symbol to an mi-ary term and maps any nj - ary relational symbol to an nj-ary relational term preserving arities, where I,J are indexed sets. Some algebraic properties of the monoid of all relational hypersubstitutions for algebraic systems of a special type, especially the characterization of its order and the set of all regular elements, were first studied by Phusanga and Koppitz[13] in 2018. In this paper, we study the Green’srelationsontheregularpartofthismonoidofaparticulartype(τ,τ′) = ((m),(n)), where m, n ≥ 2.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cba3e7b6b45e399cdd5e61f12cef22f8 https://doi.org/10.5556/j.tkjm.53.2022.3436 Zobrazit plný text záznamu