TITLE:
Characterizations of Hemirings by the Properties of Their k-Ideals
AUTHORS:
Muhammad Shabir, Rukhshanda Anjum
KEYWORDS:
Hemiring; Fuzzy k-Ideal; Idempotent k-Ideals; Prime Ideals; Semiprime Ideals
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.5,
May
13,
2013
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.