Singular fuzzy ideals of commutative rings

Article type: Research Article

Authors: Kalita, Mrinal C.^a | Saikia, Helen K. ^{b; *}

Affiliations: [a] Department of Mathematics, Pandu College, Guwahati, India | [b] Department of Mathematics, Gauhati University, Guwahati, India

Correspondence: [*] Corresponding author. Helen K. Saikia, Department of Mathematics, Gauhati University, Guwahati 781014, India. Mobile: +919435145513; E-mail: hsaikia@yahoo.com.

Abstract: Notion of singular fuzzy ideals of commutative rings is introduced in this paper. These singular fuzzy ideals are defined via essential fuzzy ideals. Various characteristic features of such ideals to establish relationship between fuzzy non singularity and fuzzy semiprime character of commutative rings are presented.

Keywords: Fuzzy ideal, essential fuzzy ideal, singular ideal, semiprime

DOI: 10.3233/IFS-162099

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3543-3549, 2016