Results 11 to 20 of about 78,445 (293)
Zariski topology on the spectrum of graded classical prime submodules [PDF]
Applied General Topology, 2013 Let $R$ be a $G$-graded commutative ring with identity and let $M$ be a graded $R$-module. A proper graded submodule $N$ of $M$ is called graded classical prime if for every $a, b\in h(R)$, $m\in h(M)$, whenever $abm\in N$, then either $am\in N$ or $bm ...
Ahmad Yousefian Darani, Shahram Motmaen
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SOME REMARKS ON THE CLASSICAL PRIME SPECTRUM OF MODULES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 Let R be a commutative ring with identity and let M be an R-module. A proper submodule P of M is called a classical prime submodule if abm ∈ P, for a,b ∈ R, and m ∈ M, implies that am ∈ P or bm ∈ P. The classical prime spectrum of M, Cl.Spec(M), is defined to be the set of all classical prime submodules of M. We say M is classical primefule if M = 0, or
Abbasi, Alireza, Naderi, Mohammad Hasan
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Graded pseudo weakly prime spectrum of graded topological modules [PDF]
Applied General TopologyIn this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime submodules, we investigate the Zariski
Tamem Al-Shorman +3 more
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The prime spectrum of algebras of quadratic growth [PDF]
Journal of Algebra, 2008 23 ...
Bell, Jason P., Smoktunowicz, Agata
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The Prime Spectrum of Commutative Differential Algebras
Journal of Functional Analysis, 1995 Let \(A\) be a commutative algebra over a field with characteristic zero and \(D\) be a derivation on \(A\). Let \(p_1\) and \(p_2\) be distinct prime ideals of \(A\) such that \(p_1\subset p_2\) with \(D(p_1) \not\subset p_2\) and let \(q_1= \{x: D^k x\in p_1\) for all \(k\geq 0\}\).
Moloney, J.J.
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ...
Nazar H. Shuker +2 more
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Spectrum of Zariski Topology in Multiplication Krasner Hypermodules
Mathematics, 2023 In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen +2 more
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On the Prime Spectrum of Torsion Modules [PDF]
Iranian Journal of Mathematical Sciences and Informatics, 2020 Summary: The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.
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𝒩 -Prime Spectrum of Stone Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2021 Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
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Prime ideals in the quantum grassmanian [PDF]
, 2008 We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter ...
Lenagan, T.H. +2 more
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