All intra-regular generalized hypersubstitutions of type (2)-Reference-Cited by-同舟云学术

All intra-regular generalized hypersubstitutions of type (2)

Published:2019-08-01 Issue:1 Volume:11 Page:29-39
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Boonmee Ampika¹,Leeratanavalee Sorasak²

Affiliation:

1. Department of Mathematics, Faculty of Science , Chiang Mai University , Thailand

2. Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science , Chiang Mai University , Thailand

Abstract

Abstract A generalized hypersubstitution of type τ maps each operation symbol of the type to a term of the type, and can be extended to a mapping defined on the set of all terms of this type. The set of all such generalized hypersubstitutions forms a monoid. An element a of a semigroup S is intra-regular if there is b ∈ S such that a = baab. In this paper, we determine the set of all intra-regular elements of this monoid for type τ = (2).

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2019-0003

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