Ideals of the Multiplicative Semigroups ℤn and their Products

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 1,  2009, pp.41-46
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.1.041
Title & Authors
Ideals of the Multiplicative Semigroups ℤn and their Products
Puninagool, Wattapong; Sanwong, Jintana;

Abstract
The multiplicative semigroups $\small{\mathbb{Z}_n}$ have been widely studied. But, the ideals of $\small{\mathbb{Z}_n}$ seem to be unknown. In this paper, we provide a complete descriptions of ideals of the semigroups $\small{\mathbb{Z}_n}$ and their product semigroups $\small{{\mathbb{Z}}_m{\times}{\mathbb{Z}}_n}$. We also study the numbers of ideals in such semigroups.
Keywords
ideals;integers modulo n;product semigroups;
Language
English
Cited by
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