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Factoring Nonnil Ideals into Prime and Invertible Ideals
Bulletin of the London Mathematical Society, 2005Throughout 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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1971
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This item was digitized as part of a project to share McGill's intellectual legacy with the public. If you are the copyright holder or a relative of the copyright holder who is deceased, you may request withdrawal by emailing escholarship.library@mcgill.ca.
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Prime Ideals in Leibniz Algebras
Journal of Lie TheoryLeibniz 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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Graded weakly prime ideals of non-commutative rings
Communications in Algebra, 2021Rashid Abu-Dawwas, Azzh Alshehry
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2-PRIME IDEALS AND 2-PRIME RINGS
JP Journal of Algebra, Number Theory and Applications, 2021openaire +2 more sources
The stable set of associated prime ideals of a polymatroidal ideal
Journal of Algebraic Combinatorics, 2012Jürgen Herzog +2 more
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S-prime ideals of a commutative ring
Beitrage Zur Algebra Und Geometrie, 2019Achraf Malek +2 more
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On the stable set of associated prime ideals of a monomial ideal
Archiv Der Mathematik, 2012Shamila Bayati +2 more
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