چكيده لاتين :
Let R be an arbitrary ring. A non-zero R-module M is called a semisecond module
if the annihilator of any non-zero homomorphic image of M is semiprime. We study
and investigate this notion over noncommutative rings. It is shown that a non-zero
R-module M is a semisecond module if and only if for every ideal I of R, MI2 = MI.
Semisecondness is a Morita invariant property. We show that if M is an Artinian
non-zero R-module, then every non-zero submodule of M has only a finite number of
maximal semisecond submodule. Also a non-zero R-module M is Semisecond if and
only if for every proper submodule K of M, there exists a semiprime ideal I of R
contained in annR(M/K) such that M/K cogenerates R/I.
