Results 21 to 30 of about 1,129,791 (207)
, 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 ...
Harmancı, A. +7 more
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Copure direct injective modules
, 2021 In this paper, we have introduced copure-direct-injective modules. A right R-module M is said to be copure-direct-injective if every copure submodule of M isomorphic to a direct summand of M is itself a direct
Toksoy, Sultan Eylem +1 more
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LINKAGE AND DUALITY OF MODULES [PDF]
, 2009 Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
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Kernels of homomorphisms between uniform quasi-injective modules
, 2022 In this paper, we study the behavior of endomorphism rings of indecomposable (uniform) quasi-injective modules. A very natural question here is, for a morphism f : A -> B, with A, B indecomposable (uniform) quasi-injective right R-modules, and g : E(A) ->
KOŞAN, MUHAMMET TAMER +2 more
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Relative natural classes and relative injectivity
International Journal of Mathematics and Mathematical Sciences, 2005 Let τ be a hereditary torsion theory on the category R-Mod of left R-modules over an associative unitary ring R. We introduce the notion of τ-natural class as a class of modules closed under τ-dense submodules, direct sums, and τ-injective hulls.
Septimiu Crivei
doaj +1 more source
, 2022 Bu çalışmanın temelini injektif modüller ve bir modüle göre göreceli injektif modüller oluşturmaktadır. Tez beş bölümden oluşmaktadır. Birinci bölümde; injektif modüllerin kısaca tarihçesinden bahsedilip literatürde önemli çalışmalarda bulunan ...
Soytürk, Kevser
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极小拟内射模和强Kasch模(On minimal quasi-injective modules and strong Kasch modules)
Zhejiang Daxue xuebao. Lixue ban, 2009 Let R be a ring and M a right R-module. M is said to be minimal quasi-injective if every homomorphism from a simple submodule of M to M can be extended to an endomorphism of M.
ZHUZhan-min(朱占敏) +1 more
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Advanced Functional Materials, EarlyView.A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao +6 more
wiley +1 more source
Elements in exchange rings with related comparability
International Journal of Mathematics and Mathematical Sciences, 2000 We show that if R is an exchange ring, then the following are equivalent: (1) R satisfies related comparability. (2) Given a,b,d∈R with aR+bR=dR, there exists a related unit w∈R such that a+bt=dw. (3) Given a,b∈R with aR=bR, there exists a related unit w∈
Huanyin Chen
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Finite homomorphic images of Bezout duo-domains
Karpatsʹkì Matematičnì Publìkacìï, 2014 It is proved that for a quasi-duo Bezout ring of stable range 1 the duo-ring condition is equivalent to being an elementary divisor ring. As an application of this result a couple of useful properties are obtained for finite homomorphic images of Bezout ...
O.S. Sorokin
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