DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

Article in volume

Authors:

P. Kunama

Pornpimol Kunama

Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Chiangrai : 99 Sai Khao, Phan, Chiang Rai, Thailand, 57120

email: pornpimol@rmutl.ac.th

0000-0002-0239-0925

S. Leeratanavalee

Sorasak Leeratanavalee

email: scislrtt@chiangmai.ac.th

Title:

Idempotence and regularity of generlized relational hypersubstitutions for algebraic sytems

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 44(2) (2024) 369-382

Received: 2023-03-07 , Revised: 2023-06-09 , Accepted: 2023-06-10 , Available online: 2024-10-29 , https://doi.org/10.7151/dmgaa.1468

Abstract:

The concept of a generalized relational hypersubstitution for algebraic systems of type $(\tau,\tau')$ is an extension of the concept of a generalized hypersubstitution for universal algebra of type $\tau$. The set of all generalized relational hypersubstitutions for algebraic systems of type $(\tau,\tau')$ together with a binary operation defined on the set and its identity forms a monoid. The properties of this structure are expressed by terms and relational terms. In this paper, we study the semigroup properties of the monoid of type $((n),(m))$ for arbitrary natural numbers $n,m \geq 2$. In particular, we characterize the idempotent as well as regular elements in this submonoid.

Primary keywords:

generalized hypersubstitutions, algebraic systems,

Secondary keywords:

idempotent elements, regular elements

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