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:

T. Kumduang

Thodsaporn Kumduang

Department of Mathematics
Faculty of Science and Technology
Rajamangala University of Technology Rattanakosin
Nakhon Pathom 73170, Thailand

email: kumduang01@gmail.com

K. Wattanatripop

Khwancheewa Wattanatripop

Department of Mathematics
Faculty of Science and Agricultural Technology
Rajamangala University of Technology Lanna
Chiang Mai 50300, Thailand

email: khwancheewa.wat@rmutl.ac.th

T. Changphas

Thawhat Changphas

email: thacha@kku.ac.th

Title:

Algebras of full terms constructed from transformations with fixed set

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications 44(1) (2024) 127-146

Received: 2022-08-03 , Revised: 2022-11-26 , Accepted: 2022-11-27 , Available online: 2024-02-08 , https://doi.org/10.7151/dmgaa.1451

Abstract:

Based on the notion of full transformations with fixed set, in this paper, we present a novel concept of $n$-ary $Fix(I_n,Y)$-full terms. This term can be considered as a generalization of strongly full terms, permutational full terms and full terms. Together with the superposition operation, one can form a Menger algebra of rank $n$. The freeness of such algebra with respect to a variety of algebras of the same types is discussed. Furthermore, we apply hypersubstitution theory to define a $Fix(I_n,Y)$-full closed identity, a $Fix(I_n,Y)$-full closed variety and present some concrete examples.

Keywords:

transformations with fixed set, full term, Menger algebra, hypersubstitution

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