On some classes of modules
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 839-846
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The aim of this paper is to investigate quasi-corational, comonoform, copolyform and $\alpha $-(co)atomic modules. It is proved that for an ordinal $\alpha $ a right $R$-module $M$ is $\alpha $-atomic if and only if it is $\alpha $-coatomic. And it is also shown that an $\alpha $-atomic module $M$ is quasi-projective if and only if $M$ is quasi-corationally complete. Some other results are developed.
Classification :
16D10, 16D80, 16D99
Keywords: quasi-corational module; copolyform module; $\alpha $-coatomic module
Keywords: quasi-corational module; copolyform module; $\alpha $-coatomic module
@article{CMJ_2000__50_4_a10,
author = {G\"ung\"oroglu, Gonca and Harmanci, Abdullah},
title = {On some classes of modules},
journal = {Czechoslovak Mathematical Journal},
pages = {839--846},
publisher = {mathdoc},
volume = {50},
number = {4},
year = {2000},
mrnumber = {1792973},
zbl = {1079.16501},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a10/}
}
Güngöroglu, Gonca; Harmanci, Abdullah. On some classes of modules. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 839-846. http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a10/