Ahmad Khaksari
Department of Mathematics, Payame Noor University, Tehran, Iran
[ 1 ] - A Note on Artinian Primes and Second Modules
Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.
[ 2 ] - On special submodule of modules
Let $R$ be a domain with quotiont field $K$, and let $N$ be a submodule of an $R$-module $M$. We say that $N$ is powerful (strongly primary) if $x,yin K$ and $xyMsubseteq N$, then $xin R$ or $yin R$ ($xMsubseteq N$ or $y^nMsubseteq N$ for some $ngeq1$). We show that a submodule with either of these properties is comparable to every prime submodule of $M$, also we show tha...
نویسندگان همکار
S. Mehri 1