Results 121 to 130 of about 475 (152)
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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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Localization of Right Noetherian Rings at Semiprime Ideals
Canadian Journal of Mathematics, 1974 In [11] and [12] we investigated the process of localization of right Noetherian rings R at prime ideals. We shall now extend these investigations to semiprime ideals N of R.In Section 2 we show that localizing at the injective right R-module E(R/N) is the same as localizing with respect to the multiplicative ...
Lambek, J., Michler, G.
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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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Semiprime rings with prime ideals invariant under derivations
Journal of Algebra, 2006 Suppose that R is a semiprime ring which is either a PI-ring or a countable ring. Then there exists a collection of prime ideals Pβ, β ∈ Γ , such that each Pβ is invariant under all derivations of R and ∩β∈Γ Pβ ...
Chen-Lian Chuang, Tsiu-Kwen Lee
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Radicals and semiprime ideals in semigroups
Acta Mathematica Hungarica, 1977H L Chow
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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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