Results 101 to 110 of about 175 (133)

Semiprime Ideals and Separation Theorems for Posets

Order, 2008
Let \(P\) be a poset and let \(A\) be a subset of \(P\). Define \(A^{u}:=\{x\in P : x\geq a \text{ for every } a\in A\}\). Dually define \(A^{l}:=\{x\in P : x\leq a \text{ for every } a\in A\}\). Then \(A^{ul}\) means \(\{A^{u}\}^l\) and \(A^{lu}\) means \(\{A^{l}\}^u\). A subset \(I\) of \(P\) is called an ideal if \(a,b\in I\) implies that \(\{a,b\}^{
Kharat, Vilas S., Mokbel, Khalid A.
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Fuzzy semiprime ideals in semigroups

Fuzzy Sets and Systems, 1982
Abstract 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.
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On weakly semiprime ideals of commutative rings

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2016
The 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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Factoring Ideals into Semiprime Ideals

Canadian Journal of Mathematics, 1978
Let 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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STRONGLY SEMIPRIME AND STRONGLY NILPOTENT IDEALS

JP Journal of Algebra, Number Theory and Applications, 2016
In the paper under review, the author introduces the notion of ``strongly semiprime ideals'' and it is shown that an ideal is a strongly semi prime ideal if and only if it is intersection of strongly prime ideals.
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Vague semiprime ideals of a $$\Gamma $$ Γ -semiring

Afrika Matematika, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhargavi, Y., Eswarlal, T.
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k-prime and k-semiprime ideals of semirings

Asian-European Journal of Mathematics, 2020
In this paper, we study the notions of [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings, [Formula: see text]-[Formula: see text]-system and [Formula: see text]-[Formula: see text]-system. We produce some properties and characterizations for [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings ...
S. Purkait, T. K. Dutta, S. Kar
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On prime and semiprime ideals of \(\Gamma\)-semihyperrings

2021
Summary: 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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PRIME AND SEMIPRIME BI-IDEALS

Quaestiones Mathematicae, 1983
Abstract Prime and semiprime bi-ideals in associative rings are defined. This provides a setting for a generalization of the well-known theorem that a commutative ring is Von Neumann regular iff every ideal is semiprime.
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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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