Fuzzy primal and fuzzy strongly primal ideals. | [Proceedings of Pakistan Academy of Sciences • 2015]

Author(s):

1. Waheed Ahmad Khan: Department of Mathematics, University of Education Lahore Attock Campus, Pakistan

2. Tariq Shah: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

3. Abdelghani Taouti: Department of Mathematics and Statistics, Caledonian College of Engineering, CPO 2322, Seeb 111, Sultanate of Oman

Abstract:

Primal ideal has been introduced and discussed in the literature. In the present note we commence first by giving a concept of strongly primal ideal which is followed by illustrating its implications with strongly prime ideals, strongly primary, and also with strongly irreducible ideals. In addition, we introduce fuzzy primal ideal, fuzzy strongly primal ideal, and fuzzy almost primal ideal and also discuss their relations among each other and with the other existing fuzzy ideals in the literature. Mathematics Subject Classification: 08A72, 20N25

Page(s): 65-70

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 52, Issue: 1, Year: 2015

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