ON M-C-INJECTIVE AND SELF-C-INJECTIVE MODULES

Autor:	B. M. Pandeya, O. P. Mishra, Avanish Kumar Chaturvedi, A. M. Tripathi
Rok vydání:	2010
Předmět:	Discrete mathematics Combinatorics Module General Mathematics Projective module Free module Injective module Flat module Endomorphism ring Simple module Resolution (algebra) Mathematics
Zdroj:	Asian-European Journal of Mathematics. :387-393
ISSN:	1793-7183 1793-5571
DOI:	10.1142/s1793557110000362
Popis:	Let M1 and M2 be two R-modules. Then M2 is called M1-c-injective if every homomorphism α from K to M2, where K is a closed submodule of M1, can be extended to a homomorphism β from M1 to M2. An R-module M is called self-c-injective if M is M-c-injective. For a projective module M, it has been proved that the factor module of an M -c-injective module is M -c-injective if and only if every closed submodule of M is projective. A characterization of self-c-injective modules in terms endomorphism ring of an R-module satisfying the CM-property is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::530c7adfc681493f3ae917812e4f82bc https://doi.org/10.1142/s1793557110000362 Zobrazit plný text záznamu