Results 171 to 180 of about 3,139 (196)

Ding Projective and Ding Injective Modules

Algebra Colloquium, 2013
An R-module M is called Ding projective if there exists an exact sequence ⋯ → P1→ P0→ P0→ P1→ ⋯ of projective R-modules with M= Ker (P0→ P1) such that Hom (-,F) leaves the sequence exact whenever F is a flat R-module. In this paper, we develop some basic properties of such modules. Also, properties of Ding injective modules are discussed.
Yang, Gang, Liu, Zhongkui, Liang, Li
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Projective and injective Krasner hypermodules

Journal of Algebra and Its Applications, 2020
In this paper, we introduce and study injective and projective (Krasner) hypermodules. In this regards, we introduce and study various kinds of projective and injective hypermodules based on different kinds of epic morphisms in the category of hypermodules. As main results, we introduce the notions of normal Baerian injectivity and Baerian injectivity
Ameri, R., Shojaei, H.
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Projective and Injective Representations

2014
Projective representations and injective representations are key concepts in representation theory. A representation P is called projective if the functor Hom(P, −) maps surjective morphisms to surjective morphisms. Dually a representation I is called injective if the functor Hom(−, I) maps injective morphisms to injective morphisms.
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Gorenstein injective and projective complexes

Communications in Algebra, 1998
In this article we extend the notion of Gorenstein injective and projective modules to that of complexes and characterize such complexes. We prove that over an n-Gorenstein ring every complex has a Gorenstein injective envelope and we show that every such envelope is a quasi-isomorphim..
Edgar E. Enochs, J.R. Garcí Rozas
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?-injective and ?-projective complexes

2016
Let χ be a class of R-modules. In this paper, we investi- gate χ-injective (projective) and DG-χ-injective (projective) complexes which are generalizations of injective (projective) and DG-injective (pro- jective) complexes. We prove that some known results can be extended to the class of χ-injective (projective) and DG-χ-injective (projective ...
Özen, Tahire, Yıldırım, Emine
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Free, Projective, and Injective Semimodules

1999
Let R be a semiring and let M be a left R-semimodule. If A is a nonempty subset of M then there exists an R-homomorphism α: R (A)→ M defined by Σm∈Af(m)m. The set A is a set of generators for M precisely when this R-homomorphism is surjective. Moreover, α induces an R-congruence relation = α on R (A) as defined in Example 15.1.
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Projective and injective modules

2023
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« The reality is, Mr. Speaker, that… » : de la modalité au positionnement énonciatif dans les structures projectives

Anglophonia: French Journal of English Studies, 2021
exaly  

Characterising E-projectives via Co-monads

Electronic Notes in Theoretical Computer Science, 2014
Weng Kin Ho
exaly  

Ext-projectives in suspended subcategories

Journal of Pure and Applied Algebra, 2008
Sonia Trepode, Ibrahim Assem
exaly