Characterizations of Hemirings by the Properties of Their k-Ideals - Applied Mathematics

AM > Vol.4 No.5, May 2013

Applied Mathematics

Volume 4, Issue 5 (May 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Characterizations of Hemirings by the Properties of Their k-Ideals ()

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DOI: 10.4236/am.2013.45104 4,205 Downloads 6,675 Views Citations

Author(s)

Muhammad Shabir, Rukhshanda Anjum

Affiliation(s)

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

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

Share and Cite:

Shabir, M. and Anjum, R. (2013) Characterizations of Hemirings by the Properties of Their k-Ideals. Applied Mathematics, 4, 753-768. doi: 10.4236/am.2013.45104.

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