Prime and primary submodules of certain modules
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 641-648.
Voir la notice de l'article dans Czech Digital Mathematics Library
In this paper we characterize all prime and primary submodules of the free $R$-module $R^{n}$ for a principal ideal domain $R$ and find the minimal primary decomposition of any submodule of $R^{n}$. In the case $n=2$, we also determine the height of prime submodules.
Classification :
13C13, 13C99
Mots-clés : prime submodules; primary submodules; primary decomposition
Mots-clés : prime submodules; primary submodules; primary decomposition
@article{CMJ_2006__56_2_a27, author = {Amini, A. and Amini, B. and Sharif, H.}, title = {Prime and primary submodules of certain modules}, journal = {Czechoslovak Mathematical Journal}, pages = {641--648}, publisher = {mathdoc}, volume = {56}, number = {2}, year = {2006}, mrnumber = {2291763}, zbl = {1155.13305}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a27/} }
TY - JOUR AU - Amini, A. AU - Amini, B. AU - Sharif, H. TI - Prime and primary submodules of certain modules JO - Czechoslovak Mathematical Journal PY - 2006 SP - 641 EP - 648 VL - 56 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a27/ LA - en ID - CMJ_2006__56_2_a27 ER -
Amini, A.; Amini, B.; Sharif, H. Prime and primary submodules of certain modules. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 641-648. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_2_a27/