Title of article :
On endo-semiprime and endo-cosemiprime modules
Author/Authors :
Karimi Beiranvand, Parvin Department of mathematics - Lorestan university, Khoramabad, Iran , Beyranvand, Reza Department of mathematics - Lorestan university, Khoramabad, Iran
Abstract :
In this paper, we study the notions of endo-semiprime and endo-cosemiprime modules and obtain some related results. For instance, we show that in a right self-injective ring R, all nonzero ideals of R are endo-semiprime as right (left) R-modules if and only if R is semiprime. Also, we prove that both being endo-semiprime and being are Morita invariant properties.
Keywords :
endo-cosemiprime modules , endo-coprime modules , endo-semiprime modules , Endo-prime modules
Journal title :
Astroparticle Physics
