Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper we
define graded semiprime submodules of a graded R-module M and we give a number of …

A proper submodule P of an R-module M is called a weakly prime submodule, if for each
submodule K of M and elements a, b of R, abK⊆ P implies that aK⊆ P or bK⊆ P. Let W …

On Weakly Semiprime Ideals in Commutative Rings Page 1 ISSN 1686-0209 Thai Journal of
Mathematics Volume 19 Number 1 (2021) Pages 125–129 http://thaijmath.in.cmu.ac.th On …

ON WEAKLY SEMIPRIME SUBSEMIMODULES Page 1 Palestine Journal of Mathematics
Vol. 9(2)(2020) , 620–625 © Palestine Polytechnic University-PPU 2020 ON WEAKLY …

Some authors studied modules with annihilator of every nonzero submodule is prime,
primary or maximal. In this paper, we introduce and study annsemimaximal and …

R асоцiативне кiльце з 1= 0; M лiвий унiтальний R-модуль; A абелева група; IlR гратка
всiх лiвих iдеалiв кiльця R; IlM гратка всiх лiвих пiдмодулiв модуля M; P (A) множина всiх …

Let R be a commutative ring with identity, and let M be an R‐module. A proper submodule N
of M is said to be weakly primary if 0≠ rm∈ N for r∈ R and m∈ M, which implies that either …