Results 41 to 50 of about 8,445,481 (227)
, 2006 Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodule of M is fully invariant. It is proved that if R is a commutative domain with field of fractions K then a torsion-free uniform R-module is a duo module ...
Harmanci, A., Ozcan, A.C., Smith, P.F.
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Some Properties of r-Small Submodules
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this work, some properties of r-small submodules are investigated. It is proved that the finite sum of r-small submodules is r-small. It is also proved that every homomorphic image of an r-small submodule is r-small.
Celil NEBİYEV, Hasan Hüseyin ÖKTEN
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Topological radical of Banach module
, 2016 We introduce the concept of topological radical of a Banach module. This closed submodule have two description: the as the intersection of ranges of maximal contractive monomorphism (from outside) and as the union of ranges of small morphisms (from ...
Aristov, Oleg
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Epis and monos which must be isos
International Journal of Mathematics and Mathematical Sciences, 1984 Orzech [1] has shown that every surjective endomorphism of a noetherian module is an isomorphism. Here we prove analogous results for injective endomorphisms of noetherian injective modules, and the duals of these results.
David J. Fieldhouse
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Modules in which every surjective endomorphism has an e-small kernel
Journal of Kufa for Mathematics and Computer, 2023 In this paper we introduce the notion of e-gH modules which is a proper generalization of Hopfian modules and defined as, a module is called e-gH if, any surjective -endomorphism of has an e-small kernel, a ring is called e-gH if, is e-gH. We
osama mohammed, Thaar Younis Ghawi
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A dynamical version of the Mordell-Lang conjecture for the additive group
, 2007 We prove a dynamical version of the Mordell-Lang conjecture in the context of Drinfeld modules. We use analytic methods similar to the ones employed by Skolem, Chabauty, and Coleman for studying diophantine equations.Comment: 13 ...
Ghioca, Dragos, Tucker, Thomas J.
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Energies, 2023 The modular multilevel converter (MMC) is a keystone of modern energy transmission systems. Consequently, there is an ongoing pursue for mathematical models to represent it under different configurations and control approaches.
Cleiton M. Freitas +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 Let M be a right R-module. We call M Rad-D12, if for every sub- module N of M, there exist a direct summand K of M and an epimor- phism α : K → M/N such that Kererα ⊆ Rad(K). We show that a direct summand of a Rad-D12 module need not be a Rad-D12 module.
Talebi Yahya +2 more
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Iraqi Journal of Science, 2021 Let be a ring with identity and be a submodule of a left - module . A submodule of is called - small in denoted by , in case for any submodule of , implies . Submodule of is called semi -T- small in , denoted by , provided for submodule of , implies that .
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Z-Small Quasi-Dedekind Modules
Iraqi Journal of Science, 2023 In this paper, we define and study z-small quasi-Dedekind as a generalization of small quasi-Dedekind modules. A submodule of -module is called z-small ( if whenever , then . Also, is called a z-small quasi-Dedekind module if for all implies .
Farhan Dakhil Shyaa, Hawraa Abd Al-Sada
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