Results 1 to 10 of about 25,785 (225)
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 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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Glasgow Mathematical Journal, 1973 AbstractIt is proved that a pure-injective module over a commutative ring with unity is a summand of a product of duals of finitely presented modules, where duals are to be understood with reference to the circle group T, with induced module structures.
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Ringel's conjecture for domestic string algebras [PDF]
, 2015 We classify indecomposable pure injective modules over domestic string algebras, verifying Ringel's conjecture on the structure of such modules.Comment: minor ...
Prest, Mike, Puninski, Gena
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