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Prime Ideals in Near-Rings

Results in Mathematics, 1993
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Birkenmeier, Gary   +2 more
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$I$-compactness and prime ideals [PDF]

open access: possiblePublicationes Mathematicae Debrecen, 2022
Ein Ring \(R\) mit Einselement heißt ein rechter Kettenring, wenn die Menge der Rechtsideale durch Inklusion linear geordnet ist. Ist \(I\) ein Rechtsideal von \(K\), so heißt \(R\) \(I\)-kompakt, wenn die kanonische Abbildung von \(R\) in den inversen Limes von \(R/I_ \lambda\) für jede Familie \(\{\lambda\mid \lambda\in \Lambda\}\) von Rechtsidealen \
Törner, Günter, Brungs, H.H.
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Fuzzy prime ideals and prime fuzzy ideals

Fuzzy Sets and Systems, 1998
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T-fuzzy prime ideals

Fuzzy Sets and Systems, 1996
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Alfonso Garmendia   +2 more
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On S-2-Prime Ideals of Commutative Rings

open access: yesMathematics
Prime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Unsal Tekir   +2 more
exaly   +3 more sources

On ideal-quotients and prime ideals

Acta Mathematica Academiae Scientiarum Hungaricae, 1953
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Fuzzy prime ideals and fuzzy radical ideals

Information Sciences, 1990
Abstract Some properties of the fuzzy prime ideals and radical ideals are studied. Also we study the structure of fuzzy principal ideals.
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Factoring Nonnil Ideals into Prime and Invertible Ideals

Bulletin of the London Mathematical Society, 2005
Throughout all rings are commutative with non-zero identity. For a ring \(R\), let \(\text{ Nil}(R)\) be its set of nilpotent elements, \(Z(R)\) its set of zero divisors and \(T(R)\) the total quotient ring of \(R\). Let \(\mathcal{H}\) be the class of all rings \(R\) such that \(\text{ Nil}(R)\) is a divided prime ideal of \(R\). For \(R\in \mathcal{H}
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Prime Ideals in Leibniz Algebras

Journal of Lie Theory
Leibniz algebras are a non-anticommutative version of Lie algebras. They were introduced by \textit{J.-L. Loday} [Enseign. Math. (2) 39, No. 3--4, 269--293 (1993; Zbl 0806.55009)]. Earlier, they were considered by \textit{A. Blokh} [Sov. Math., Dokl. 6 (1965), 1450--1452 (1966; Zbl 0139.25702); translation from Dokl. Akad. Nauk SSSR 165, 471--473 (1965)
Biyogmam, Guy R., Safa, Hesam
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Factorization into Prime and Invertible Ideals

Journal of the London Mathematical Society, 2000
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