On endo-semiprime and endo-cosemiprime modules

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.

کلیدواژه ها:

Endo-prime modules ، endo-semiprime modules ، endo-coprime modules ، endo-cosemiprime modules