The maximum pre-period property of the direct product of chains

Author:

Charoenpol Aveya1,Chotwattakawanit Udom2

Affiliation:

1. Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan Khonkaen Campus, Thailand 40000, Thailand

2. Department of Mathematics, Faculty of Science, Khon Kaen University, Thailand 40002, Thailand

Abstract

The pre-period of a finite algebra is the maximum pre-period of its endomorphisms. We know that the pre-period of any finite modular lattice is less than or equal to the length of the lattice. A finite modular lattice is said to have the maximum pre-period property (MPP) if its pre-period and its length are equal. In this paper, we study MPP of the direct product of chains.

Funder

Science Research and Innovation

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

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