An MPP Monounary Algebra Induced by an Endomorphism of the Direct Product of Two Chains

Authors

  • Aveya Charoenpol Rajamangala University of Technology Isan Khonkaen Campus
  • Udom Chotwattakawanit Khon Kaen University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6538

Keywords:

Pre-period, Monounary algebra, Chain, Endomorphism

Abstract

A finite modular lattice $\mathbf{A}$ is said to be \textit{MPP} if there is an endomorphism, called
an\textit{ MPP endomorphism}, whose the pre-period is equal to the length of $\mathbf{A}$.
A monounary algebra $(A,f)$ is said to be \textit{MPP} if $f$ is an MPP endomorphism of a lattice $\A$,
called an MPP corresponding lattice to $(A,f)$. In this work, we show all MPP monounary algebras
induced by endomorphisms of the direct products of two chains.

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Published

2025-08-03

Issue

Vol. 18 No. 3: (July 2025)

Section

Algebra

License

Copyright (c) 2025 Aveya Charoenpol, Udom Chotwattakawanit

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How to Cite

An MPP Monounary Algebra Induced by an Endomorphism of the Direct Product of Two Chains. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6538. https://doi.org/10.29020/nybg.ejpam.v18i3.6538