On endo-semiprime and endo-cosemiprime modules
نویسندگان
1 Department of mathematics, Lorestan university, P.O.Box 465, Khoramabad, Iran.
2 Department of mathematics, Lorestan university,P.O.Box 465, Khoramabad, Iran.
doi
10.22034/as.2018.1211چکیده
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.
