Characterizations of Hemirings by the Properties of Their k-Ideals

Muhammad Shabir, Rukhshanda Anjum

Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.

DOI: 10.4236/am.2013.45104                

Abstract

In this paper we characterize those hemirings for which each k-ideal is idempotent. We also characterize those hemirings for which each fuzzy k-ideal is idempotent. The space of prime k-ideals (fuzzy k-prime k-ideals) is topologized.

Keywords

Hemiring; Fuzzy k-Ideal; Idempotent k-Ideals; Prime Ideals; Semiprime Ideals

Conflicts of Interest

The authors declare no conflicts of interest.

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