منابع مشابه
Prime fuzzy ideals over noncommutative rings
In this paper we introduce prime fuzzy ideals over a noncommutative ring. This notion of primeness is equivalent to level cuts being crisp prime ideals. It also generalizes the one provided by Kumbhojkar and Bapat in [16], which lacks this equivalence in a noncommutative setting. Semiprime fuzzy ideals over a noncommutative ring are also defined and characterized as intersection of primes. This...
متن کاملON PRIME FUZZY BI-IDEALS OF SEMIGROUPS
In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.
متن کاملInterval Valued Fuzzy Prime Bi-ideals and Interval Valued Fuzzy Strongly Prime Bi-ideals in Near-rings
In this paper, prime, strongly prime, irreducible and strongly irreducible ideals of an interval valued fuzzy bi-ideals are defined and some results are explored.
متن کاملLocalization at prime ideals in bounded rings
In this paper we investigate the sufficiency criteria which guarantee the classical localization of a bounded ring at its prime ideals.
متن کاملON FINITENESS OF PRIME IDEALS IN NORMED RINGS
In a commutative Noetherian local complex normed algebra which is complete in its M-adic metric there are only finitely many closed prime ideals.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1988
ISSN: 0022-247X
DOI: 10.1016/0022-247x(88)90009-1