Results 1 to 10 of about 25,785 (225)
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper we generalize the notion of pure injectivity of modules by introducing what we call a pure Baer injective module. Some properties and some characterization of such modules are established.
Nada M. Al Thani
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Duality of Preenvelopes and Pure Injective Modules [PDF]
Canadian Mathematical Bulletin, 2013 Let $R$ be an arbitrary ring and $(-)^+=\Hom_{\mathbb{Z}}(-, \mathbb{Q}/\mathbb{Z})$ where $\mathbb{Z}$ is the ring of integers and $\mathbb{Q}$ is the ring of rational numbers, and let $\mathcal{C}$ be a subcategory of left $R$-modules and $\mathcal{D}$
Huang, Zhaoyong
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Some decomposition properties of injective and pure-injective modules [PDF]
, 1994 Many results are known about injective modules, or generalisations thereof, in the category of modules over a ring. For example there are results concerning the expressibility of such modules as direct sums of indecomposable modules. The theme of this paper is to prove such results for injective objects, or more general objects, in a suitable category.
DUNG, NGUYEN VIET, GARCIA, JOSE LUIS
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Some Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
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Classification of 1-absorbing comultiplication modules over a pullback ring [PDF]
Categories and General Algebraic Structures with Applications, 2023 One of the aims of the modern representation theory is to solve classification problems for subcategories of modules over a unitary ring R. In this paper, we introduce the concept of 1-absorbing comultiplication modules and classify 1-absorbing ...
Farkhondeh Farzalipour, Peyman Ghiasvand
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Journal of Mathematics, 2022 In this paper, we investigate the notions of X⊥-projective, X-injective, and X-flat modules and give some characterizations of these modules, where X is a class of left modules. We prove that the class of all X⊥-projective modules is Kaplansky.
Arunachalam Umamaheswaran +4 more
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Cotilting versus pure-injective modules [PDF]
Pacific Journal of Mathematics, 2003 Let \(R\) be an associative ring. A left \(R\)-module \(_RW\) is said to be cotilting if the class of modules cogenerated by \(_RW\) coincides with the class of modules for which the functor \(\text{Ext}^1_R(-,W)\) vanishes. This paper explores the relation between cotilting modules and pure-injective modules.
Mantese F, Ruzicka P, TONOLO, ALBERTO
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Ziegler partial morphisms in additive exact categories
Bulletin of Mathematical Sciences, 2020 We develop a general theory of partial morphisms in additive exact categories which extends the model theoretic notion introduced by Ziegler in the particular case of pure-exact sequences in the category of modules over a ring.
Manuel Cortés-Izurdiaga +3 more
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Cotorsion modules and relative pure-injectivity [PDF]
Journal of the Australian Mathematical Society, 2006 AbstractLet R be a ring. A right R-module C is called a cotorsion module if Ext1R (F, C) = 0 for any flat right R-module F. In this paper, we first characterize those rings satisfying the condition that every cotorsion right (left) module is injective with respect to a certain class of right (left) ideals.
Mao, Lixin, Ding, Nanqing
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Cotilting modules are pure-injective [PDF]
Proceedings of the American Mathematical Society, 2003 We prove that a cotilting module over an arbitrary ring is pure-injective.
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