STRONGLY PRIME FUZZY IDEALS AND RELATED FUZZY IDEALS IN AN INTEGRAL DOMAIN

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Published: Aug 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.3.333
Keywords:
(pseudo-)strongly prime fuzzy ideal, powerful fuzzy ideal, strongly primary fuzzy ideal, (pseudo-)valuation domain, pseudo-almost valuation domain, almost pseudo-valuation domain
Mathematics Subject Classification (2020):
Primary 13A15, Secondary 08A72

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Myeong Og Kim
Department of Mathematics, Kyungpook National University
Hwankoo Kim
Department of Information Security, Hoseo University

Abstract





We introduce the concepts of strongly prime fuzzy ideals, powerful fuzzy ideals, strongly primary fuzzy ideals, and pseudostrongly prime fuzzy ideals of an integral domain R and we provide characterizations of pseudo-valuation domains, almost pseudovaluation domains, and pseudo-almost valuation domains in terms of these fuzzy ideals.





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Article Details

Issue
Vol. 22 No. 3 (2009)
Section
Articles