Semigroup properties of linear terms

Author:

Lohapan Laddawan1,Jampachon Prakit1

Affiliation:

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

Abstract

The concept of linear terms of a given type [Formula: see text] (terms in which each variable occurs at most once) was introduced by M. Couceiro and E. Lethonen in [Galois theory for sets of operations closed under permutation, cylindrification and composition, Algebr. Univ. 67 (2012) 273–297, doi:10.1007/s00012-012-0184-1] (see also [T. Changphas, K. Denecke and B. Pibaljommee, Linear terms and linear hypersubstitutions, SEAMS Bull. Math. 40 (2016) (to be published).]). In this paper, we introduce binary partial operations [Formula: see text] and [Formula: see text] on the set [Formula: see text] of all linear terms of type [Formula: see text] Then we characterize regular elements and Green’s relations in these partial algebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. IDEAL CHARACTERIZATIONS OF SEMIGROUPS OF INDUCTIVE TERMS;INT J INNOV COMPUT I;2022

2. On substructures of semigroups of inductive terms;AIMS Mathematics;2022

3. The semigroup of linear terms;Asian-European Journal of Mathematics;2019-11-18

4. Some varieties of algebraic systems of type ((n),(m));Asian-European Journal of Mathematics;2019-02

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