On prime submodules and primary decomposition
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 83-90
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
We characterize prime submodules of $R\times R$ for a principal ideal domain $R$ and investigate the primary decomposition of any submodule into primary submodules of $R\times R.$
Classification :
13A15, 13C05, 13C13, 13C99, 13F10
Keywords: Prime submodule; primary submodule; primary decomposition; Associated primes
Keywords: Prime submodule; primary submodule; primary decomposition; Associated primes
@article{CMJ_2000__50_1_a10,
author = {Tiraṣ, Y\"ucel and Harmanci, Abdullah},
title = {On prime submodules and primary decomposition},
journal = {Czechoslovak Mathematical Journal},
pages = {83--90},
publisher = {mathdoc},
volume = {50},
number = {1},
year = {2000},
mrnumber = {1745462},
zbl = {1036.13010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a10/}
}
Tiraṣ, Yücel; Harmanci, Abdullah. On prime submodules and primary decomposition. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 83-90. http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a10/