A new monoid construction under crossed products

Emin A., ATEŞ F., İKİKARDEŞ S., CANGÜL İ. N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-244
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: crossed product, semi-direct product, monoid presentation, P-COCKCROFT PROPERTY, SEMIDIRECT PRODUCTS, PRESENTATIONS, EFFICIENCY
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper we define a new monoid construction under crossed products for given monoids. We also present a generating set and a relator set for this product. Finally, we give the necessary and sufficient conditions for the regularity of it.