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- Title
Green's Relations on Regular Elements of Semigroup of Relational Hypersubstitutions for Algebraic Systems of Type ((m), (n)).
- Authors
Jukkrit Daengsaen; Sorasak Leeratanavalee
- Abstract
Any relational hypersubstitution for algebraic systems of type... is a mapping which maps anymi-ary operation symbol to anmi-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's relations on the regular part of this monoid of a particular type (τ, τ ′) = ((m), (n)), where m, n = 2.
- Subjects
GREEN'S theorem; SET theory; MONOIDS; SUBSTITUTIONS (Mathematics); ANALYTIC mappings
- Publication
Tamkang Journal of Mathematics, 2022, Vol 53, Issue 2, p127
- ISSN
0049-2930
- Publication type
Article
- DOI
10.5556/j.tkjm.53.2022.3436