Results 91 to 100 of about 168 (124)
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Fuzzy ideals and semiprime fuzzy ideals in semigroups
Information Sciences, 2009The results of this paper concern \(\varphi\)-fuzzy ideals in a \(\varphi\)-fuzzy semigroup, where \(\varphi\) is either a pseudo-\(t\)-norm or a weak pseudo-\(t\)-norm. Let \((L,\leq)\) be a lattice with top element 1 and bottom element 0. A pseudo-\(t\)-norm is a function \(\varphi\colon L\times L\to L\) such that \(\forall x,y,z\in L\), (1) \(x\leq ...
S Yamak
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Fuzzy Sets and Systems, 1993
The authors define the concept of a semiprime fuzzy ideal of a ring \(R\) in a different manner than has been done previously. Their definition is equivalent to previous definitions and makes use of the grade of membership of an element of \(R\). The authors then determine some basic properties of semiprime fuzzy ideals. Let \(f\) be a homomorphism of \
H V Kumbhojkar
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The authors define the concept of a semiprime fuzzy ideal of a ring \(R\) in a different manner than has been done previously. Their definition is equivalent to previous definitions and makes use of the grade of membership of an element of \(R\). The authors then determine some basic properties of semiprime fuzzy ideals. Let \(f\) be a homomorphism of \
H V Kumbhojkar
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Fuzzy semiprime quasi-ideals in semigroups
Information Sciences, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nobuaki Kuroki
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Fuzzy semiprime ideals in semigroups
Fuzzy Sets and Systems, 1982Abstract In this paper we shall introduce the notion of fuzzy semiprimality in a semigroup, which is an extension of semiprimality in it, and characterize a semigroup that is a semilattice of simple semigroups in terms of fuzzy semiprimality.
Nobuaki Kuroki
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A note on L-fuzzy primary and semiprime ideals
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M M Zahedi
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On weakly semiprime ideals of commutative rings
Beitrage Zur Algebra Und Geometrie, 2016The author introduces and investigates some properties of weakly semiprime ideals of a commutative unital ring \(R\), defined as follows: a proper ideal \(I\) of \(R\) is called \textit{weakly semiprime} if whenever \(a\in R\) and \(0\neq a^2\in I\) then \(a\in I\).
Ayman Badawi
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Radicals and semiprime ideals in semigroups
Acta Mathematica Hungarica, 1977H L Chow
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Factoring Ideals into Semiprime Ideals
Canadian Journal of Mathematics, 1978Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
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On prime and semiprime ideals of \(\Gamma\)-semihyperrings
2021Summary: The \(\Gamma\)-semihyperring is a generalization of the concepts of a semiring, a semihyperring and a \(\Gamma\)-semiring. In this paper, the notions of completely prime ideals and prime radicals for \(\Gamma\)-semihyperring are introduced and studied some important properties accordingly.
Patil, J., Pawar, K.
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