Prime submodules of Noetherian modules
From MaRDI portal
Publication:1316329
DOI10.1216/rmjm/1181072540zbMath0814.16017OpenAlexW2083451178MaRDI QIDQ1316329
R. L. McCasland, Patrick F. Smith
Publication date: 14 June 1995
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072540
prime submodulesprime idealsannihilatorchain conditionsleft Goldiefinitely generated left \(R\)-modulestrongly prime submodules
Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)
Related Items (84)
SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ SOME RESULTS ON STRONGLY PRIME SUBMODULES ⋮ A GENERALIZATION OF BAER'S LOWER NILRADICAL FOR MODULES ⋮ THE TOTAL GRAPH OF A MODULE OVER A COMMUTATIVE RING WITH RESPECT TO PROPER SUBMODULES ⋮ On commutative noetherian rings which satisfy the generalized radical formula ⋮ A new topology over the primary-like spectrum of a module ⋮ Lattice properties of the minus order on regular modules ⋮ M-INJECTIVE MODULES AND PRIMEM-IDEALS ⋮ PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS ⋮ On the graph of modules over commutative rings ⋮ A generalization of the classical Krull dimension for modules. ⋮ Unnamed Item ⋮ A principal ideal theorem analogue for modules over commutative rings ⋮ Prime submodules ⋮ Divisibility on chains of submodules ⋮ Krull dimension of bimodules. ⋮ One dimensional domains which satisfy the radical formula are Dedekind domains ⋮ Finitely generated reflexive modules over coherent domains ⋮ A Cohen-type theorem for w-Noetherian modules ⋮ Rings all of whose prime serial modules are serial ⋮ On the prime radical of a module over a commutative ring ⋮ On regular modules over commutative rings ⋮ A closure operation on submodules ⋮ Commutative rings whose proper ideals are \(\wp\)-virtually semisimple ⋮ Anti-homomorphisms between module lattices ⋮ On prime modules and dense submodules ⋮ A short Note on prime submodules ⋮ Prime uniserial modules and rings ⋮ Unnamed Item ⋮ Primal modules ⋮ Modules satisfying the prime and maximal radical conditions ⋮ Chain conditions in modules with krull dimension ⋮ On commutative Noetherian rings which satisfy the radical formula ⋮ On finiteness of multiplication modules ⋮ ON PRIME AND SEMIPRIME GOLDIE MODULES ⋮ φ-PRIME SUBMODULES ⋮ Noetherian rings whose modules are prime serial ⋮ On \(\phi\)-2-absorbing primary submodules ⋮ Second Modules Over Noncommutative Rings ⋮ On prime submodules ⋮ Zariski-finite modules ⋮ On the dual notion of prime submodules. II ⋮ Existence, automatic continuity and invariant submodules of generalized derivations on modules ⋮ Prime subacts over commutative monoids with zero. ⋮ On the interior of a submodule with respect to a set of ideals ⋮ Saturations of Submodules ⋮ Projective modules and prime submodules ⋮ The Krull dimension of certain semiprime modules versus their \(\alpha \)-shortness ⋮ Strongly irreducible submodules of modules ⋮ Prime Modules and Submodules ⋮ Almost prime submodules ⋮ On the Prime Spectrum of a Module and Zariski Topologies ⋮ On prime submodules and primary decomposition ⋮ The Zariski Topology on the Prime Spectrum of a Module over Noncommutative Rings ⋮ Associated Prime Submodules of Finitely Generated Modules ⋮ FINITELY GENERATED GRADED MULTIPLICATION MODULES ⋮ NOETHERIAN SPECTRUM ON RINGS AND MODULES ⋮ The Dual Notion of Content Modules ⋮ Prime virtually semisimple modules and rings ⋮ Strongly Prime Submodules ⋮ On Semiprime Submodules ⋮ Generators for the semimodule of varieties of a free module ⋮ Spectrum of a Noncommutative Ring ⋮ Spectra of Maximal 1-Sided Ideals and Primitive Ideals ⋮ On Isolated Submodules ⋮ A characterization of prime submodules ⋮ Modules with bounded spectra ⋮ An introduction to Zariski spaces over Zariski topologies ⋮ On the prime radical and Baer's lower nilradical of modules. ⋮ Zariski Spaces of Modules over Arbitrary Rings ⋮ On the spectrum of a module over a commutative ring ⋮ Krull Modules ⋮ On modules satisfying \(S\)-dccr condition ⋮ The radical formula for noncommutative rings ⋮ COMPLETELY PRIME ONE-SIDED IDEALS IN SKEW POLYNOMIAL RINGS ⋮ On radical formula in modules over noncommutative rings ⋮ Some results of fully prime submodules ⋮ On strongly dccr⋆ modules ⋮ Radicals of submodules of free modules ⋮ GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES ⋮ Some results of multiplication modules ⋮ A generalization of primary ideals and strongly prime submodules ⋮ On chains of prime submodules ⋮ Higher order \(z\)-ideals of special rings
Cites Work
This page was built for publication: Prime submodules of Noetherian modules
