<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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).</p></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).

All intra-regular generalized hypersubstitutions of type (2)

Department of Mathematics, Faculty of Science

Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"All intra-regular generalized hypersubstitutions of type (2)"}

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 intra-regular generalized hypersubstitutions of type (2)

Data publikacji: 17 sie 2019

Zakres stron: 29 - 39

Otrzymano: 05 wrz 2016

DOI: https://doi.org/10.2478/ausm-2019-0003

Słowa kluczowe
generalized hypersubstitution, regular element, sequence of term, completely regular, intra-regular element

© 2019 Ampika Boonmee et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

All intra-regular generalized hypersubstitutions of type (2)

Data publikacji: 17 sie 2019

Zakres stron: 29 - 39

Otrzymano: 05 wrz 2016

DOI: https://doi.org/10.2478/ausm-2019-0003

Słowa kluczowegeneralized hypersubstitution, regular element, sequence of term, completely regular, intra-regular element

© 2019 Ampika Boonmee et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
generalized hypersubstitution, regular element, sequence of term, completely regular, intra-regular element