Complete rewriting system for the Schützenberger product of n groups-Reference-Cited by-同舟云学术

Complete rewriting system for the Schützenberger product of n groups

Published:2019-02 Issue:01 Volume:12 Page:1950012
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Çetinalp Esra Kırmızı¹,Karpuz Eylem Güzel¹,Çevik Ahmet Sinan²³

Affiliation:

1. Kamil Özdağ Science Faculty, Department of Mathematics, Karamanoğlu Mehmetbey University, Yunus Emre Campus, 70100, Karaman, Turkey

2. Science Faculty, Department of Mathematics, Selçuk University, 42075, Konya, Turkey

3. Department of Mathematics, KAU King Abdulaziz University, 21589, Jeddah, Makkah S Arabia

Abstract

In this paper, we obtain a complete rewriting system for monoid presentation of Schützenberger product of [Formula: see text] groups, which is firstly defined in [G. M. S. Gomes, H. Sezinando and J. E. Pin, Presentations of the Schützenberger product of [Formula: see text] groups, Comm. Algebra 34(4) (2006) 1213–1235]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557119500128

Reference12 articles.

1. Decision problems for groups and semigroups

2. Gröbner–Shirshov bases of some monoids

3. String-Rewriting Systems

4. Two-sided crossed products of groups

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