Prime and primary submodules of certain modules
A. Amini; B. Amini; Habib Sharif
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 2, page 641-648
- ISSN: 0011-4642
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topAmini, A., Amini, B., and Sharif, Habib. "Prime and primary submodules of certain modules." Czechoslovak Mathematical Journal 56.2 (2006): 641-648. <http://eudml.org/doc/31055>.
@article{Amini2006,
abstract = {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.},
author = {Amini, A., Amini, B., Sharif, Habib},
journal = {Czechoslovak Mathematical Journal},
keywords = {prime submodules; primary submodules; primary decomposition; primary decomposition},
language = {eng},
number = {2},
pages = {641-648},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Prime and primary submodules of certain modules},
url = {http://eudml.org/doc/31055},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Amini, A.
AU - Amini, B.
AU - Sharif, Habib
TI - Prime and primary submodules of certain modules
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 641
EP - 648
AB - 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.
LA - eng
KW - prime submodules; primary submodules; primary decomposition; primary decomposition
UR - http://eudml.org/doc/31055
ER -
References
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- Prime submodules of modules, Comment. Math. Univ. St. Paul 33 (1984), 61–69. (1984) Zbl0575.13005MR0741378
- Commutative Ring Theory, Cambridge University Press, 1986. (1986) Zbl0603.13001MR0879273
- Steps in Commutative Algebra, Cambridge University Press, 1990. (1990) Zbl0703.13001MR1070568
- 10.1023/A:1022441220553, Czechoslovak Math. J. 50 (2000), 83–90. (2000) MR1745462DOI10.1023/A:1022441220553
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