| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 602 4 |
| Ultima descărcare din IBN: 2023-02-22 18:55 |
 SM ISO690:2012ALVARADO-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 | ||||||
|
||||||
| MSC 2010: 6D50, 16D80, 16L60. | ||||||
| Pag. 57-67 | ||||||
|
||||||
 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 |
||||||
|
DataCite XML Export
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <creators> <creator> <creatorName>Alvarado-Garcia, A.</creatorName> <affiliation>Universidad Nacional Autónoma de México, Mexic</affiliation> </creator> <creator> <creatorName>Perez-Quijano, T.</creatorName> <affiliation>Universidad Nacional Autónoma de México, Mexic</affiliation> </creator> <creator> <creatorName>Cejudo-Castilla, C.</creatorName> <affiliation>Benemérita Universidad Autónoma de Puebla, Mexic</affiliation> </creator> <creator> <creatorName>Vilchis-Montalvo, I.</creatorName> <affiliation>Benemérita Universidad Autónoma de Puebla, Mexic</affiliation> </creator> </creators> <titles> <title xml:lang='en'>On pseudo-injective and pseudo-projective modules</title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>2018</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier> <subjects> <subject>Artinian principal ideal ring</subject> <subject>QF ring</subject> <subject>QI ring</subject> <subject>quasiinjective module</subject> <subject>pseudo-injective module</subject> <subject>pseudo-projective module</subject> </subjects> <dates> <date dateType='Issued'>2018-12-21</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'><p>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.</p></description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>
|
|
|
