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1. On prime submodules and primary decomposition

Creator:
Tiras, Yücel and Harmanci, Abdullah
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
prime submodule, primary submodule, primary decomposition, and Associated primes
Language:
English
Description:
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 $R\times R.$.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Prime and primary submodules of certain modules

Creator:
Amini, A., Amini, B., and Sharif, Habib
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
prime submodules, primary submodules, and primary decomposition
Language:
English
Description:
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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public