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A note On 2-prime ideals [PDF]
Journal of Mahani Mathematical ResearchLet $R$ be a commutative ring with identity. In this paper, we study 2-prime ideals of a Dedekind domain and a Pr\"{u}fer domain. We prove that a nonzero ideal $I$ of a Dedekind domain $R$ is 2-prime if and only if $I=P^{\alpha}$, for some maximal ideal $
Somayeh Hadjirezaei, Vajihe Sharifi
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The lattice of primary ideals of orders in quadratic number fields [PDF]
, 2016 Let $O$ be an order in a quadratic number field $K$ with ring of integers $D$, such that the conductor $\mathfrak F = f D$ is a prime ideal of $O$, where $f\in\mathbb Z$ is a prime. We give a complete description of the $\mathfrak F$-primary ideals of $O$
Peruginelli, Giulio, Zanardo, Paolo
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Some Basic Properties of Completely Prime Ideals in Near Rings
Journal of Mathematical and Fundamental Sciences, 2015 In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings.
Pairote Yiarayong
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On 3-prime ideal with respect to an element of a near ring
Journal of Kufa for Mathematics and Computer, 2014 In this paper ,we introduce the notions 3- prime ideal with respect to an element x denoted by (x-3-prime ideal ) of a near ring and the 3-prime ideal near ring with respect to an element x denoted by (x-3-prime ideal near ring ) ,and
Showq M. Ibrahem
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Weakly 2-Absorbing Ideals in Almost Distributive Lattices
Journal of Mathematics, 2022 The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form ...
Natnael Teshale Amare
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Fuzzy prime ideals redefined [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Note on distributive posets [PDF]
, 2012 In this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for ...
Paseka, Jan
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PRIMES AND PRIME IDEALS IN SHORT INTERVALS [PDF]
Mathematika, 2017 We prove the analog of Cram r's short intervals theorem for primes in arithmetic progressions and prime ideals, under the relevant Riemann Hypothesis. Both results are uniform in the data of the underlying structure. Our approach is based mainly on the inertia property of the counting functions of primes and prime ideals.
GRENIE, L. +2 more
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Quasi-invertible prime ideals [PDF]
Proceedings of the American Mathematical Society, 1965 2. Let Hn(U, A),-'( U, B) in two successive dimensions and for all subgroups but do not assume the isomorphisms induced by a module homomorphism. It would not be reasonable to expect isomorphisms for all n and all subgroups. The following counterexample justifies our pessimism.
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ℒ-Fuzzy Ideals of Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2019 This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole +3 more
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