On pseudo-injective and pseudo-projective modules

Alvarado-Garcıa Alejandro; Perez-Quijano Tania Gabriela; Cejudo-Castilla Cesar; Vilchis-Montalvo Ivan Fernando

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603

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2023-02-22 18:55

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ALVARADO-GARCIA, Alejandro, PEREZ-QUIJANO, Tania Gabriela, CEJUDO-CASTILLA, Cesar, VILCHIS-MONTALVO, Ivan Fernando. On pseudo-injective and pseudo-projective modules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 3(88), pp. 57-67. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 3(88) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

On pseudo-injective and pseudo-projective modules

MSC 2010: 6D50, 16D80, 16L60.

Pag. 57-67

Alvarado-Garcıa Alejandro¹, Perez-Quijano Tania Gabriela¹, Cejudo-Castilla Cesar², Vilchis-Montalvo Ivan Fernando²

¹ National Autonomous University of Mexico,
² Benemérita Universidad Autónoma de Puebla

Disponibil în IBN: 15 august 2019

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In this work we obtain characterizations of QI rings and semisimple rings using quasi-injective and pseudo-injective modules respectively. We define and construct the pseudo-injective hull of a module and we give sufficient conditions on a ring to have the following properties: every pseudo-injective module is pseudoprojective and every pseudo-projective module is pseudo-injective. We also give some properties of the big lattice of classes of modules being closed under submodules and quasi-injective hulls.

Cuvinte-cheie
Artinian principal ideal ring, QF ring, QI ring, quasiinjective module, pseudo-injective module, pseudo-projective module

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