Weakly prime submodules and prime submodules
A Azizi - Glasgow Mathematical Journal, 2006 - cambridge.org
WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES Page 1 Glasgow Math. J. 48 (2006)
343–346. C 2006 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089506003119 …
343–346. C 2006 Glasgow Mathematical Journal Trust. doi:10.1017/S0017089506003119 …
On weakly prime radical of modules and semi-compatible modules
M Behboodi - Acta Mathematica Hungarica, 2006 - Springer
Let M be a left R-module. Then a proper submodule P of M is called weakly prime
submodule if for any ideals A and B of R and any submodule N of M such that ABN⊆ P, we …
submodule if for any ideals A and B of R and any submodule N of M such that ABN⊆ P, we …
A generalization of the classical krull dimension for modules
M Behboodi - Journal of Algebra, 2006 - Elsevier
In this article, we introduce and study a generalization of the classical Krull dimension for a
module MR. This is defined to be the length of the longest strong chain of prime submodules …
module MR. This is defined to be the length of the longest strong chain of prime submodules …