On pseudo-injective and pseudo-projective modules

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

Conţinutul numărului revistei

Articolul precedent

Articolul urmator

607

Ultima descărcare din IBN:
2023-02-22 18:55

SM ISO690:2012

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.

EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core

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

Descarcă PDF

Rezumat

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

Crossref XML Export

<?xml version='1.0' encoding='utf-8'?>
<doi_batch version='4.3.7' xmlns='http://www.crossref.org/schema/4.3.7' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.crossref.org/schema/4.3.7 http://www.crossref.org/schema/deposit/crossref4.3.7.xsd'>
<head>
<doi_batch_id>ibn-82655</doi_batch_id>
<timestamp>1719891155</timestamp>
<depositor>
<depositor_name>Information Society Development Instiute, Republic of Moldova</depositor_name>
<email_address>[email protected]</email_address>
</depositor>
<registrant>Institutul de Matematică şi Informatică al AŞM</registrant>
</head>
<body>
<journal>
<journal_metadata>
<full_title>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica</full_title>
<issn media_type='print'>10247696</issn>
</journal_metadata>
<journal_issue>
<publication_date media_type='print'>
<year>2018</year>
</publication_date>
<issue>3(88)</issue>
</journal_issue>
<journal_article publication_type='full_text'><titles>
<title>On pseudo-injective and pseudo-projective modules</title>
</titles>
<contributors>
<person_name sequence='first' contributor_role='author'>
<given_name>Alejandro</given_name>
<surname>Alvarado-Garcia</surname>
</person_name>
<person_name sequence='additional' contributor_role='author'>
<given_name>Tania Gabriela</given_name>
<surname>Perez-Quijano</surname>
</person_name>
<person_name sequence='additional' contributor_role='author'>
<given_name>Cesar</given_name>
<surname>Cejudo-Castilla</surname>
</person_name>
<person_name sequence='additional' contributor_role='author'>
<given_name>Ivan Fernando</given_name>
<surname>Vilchis-Montalvo</surname>
</person_name>
</contributors>
<publication_date media_type='print'>
<year>2018</year>
</publication_date>
<pages>
<first_page>57</first_page>
<last_page>67</last_page>
</pages>
</journal_article>
</journal>
</body>
</doi_batch>