The Order of Hypersubstitutions of Type τ = (3)

Author:

Changphas Thawhat1

Affiliation:

1. Universität Potsdam, Institut für Mathematik, D-14415 Potsdam, PF 601553, Germany

Abstract

Hypersubstitutions were introduced in [3] as a way of making precise the concepts of hyperidentity and M-hyperidentity. The monoid of hypersubstitutions has been widely studied by many authors. Knowledge of the monoid of hypersubstitutions can be applied to the concept of M-hyperidentities. In this paper, we show that the order of hypersubstitutions of type τ = (3) is 1, 2, 3 or infinite.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Reference5 articles.

1. Finite Monoids of Hypersubstitutions of Type τ = (2)

2. K. Denecke, Contributions to General Algebra 7 (1991) pp. 97–118.

3. The Monoid of Hypersubstitutions of Type (n)

Cited by 3 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. REGULAR WEAK PROJECTION HYPERSUBSTITUTIONS;Asian-European Journal of Mathematics;2012-12

2. The Order of Hypersubstitutions of Type (2,1);International Journal of Mathematics and Mathematical Sciences;2011

3. The Order of Hypersubstitutions of Type (2, 2);Acta Mathematica Sinica, English Series;2006-10-25

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