JP Journal of Algebra, Number Theory and Applications
Volume 44, Issue 2, Pages 229 - 250
(November 2019) http://dx.doi.org/10.17654/NT044020229 |
|
REGULARITY OF RELATIONAL HYPERSUBSTITUTIONS FOR ALGEBRAIC SYSTEMS
Jukkrit Daengsaen and Sorasak Leeratanavalee
|
Abstract: The concept of a relational hypersubstitution for algebraic systems of type is an extension of the concept of a hypersubstitution for universal algebra of type τ. The set of all relational hypersubstitutions for algebraic systems of type together with a binary operation forms a monoid. In this paper, we study the semigroup properties of the monoid of type ((m), (n)) for arbitrary natural numbers In particular, we characterize all idempotent elements and all regular elements of this monoid. |
Keywords and phrases: hypersubstitution, relational hypersubstitution, algebraic systems, idempotent elements, regular elements.
|
|
Number of Downloads: 304 | Number of Views: 1048 |
|