1. A KIND OF F-INVERSE SPLIT MODULES

M. Hosseinpour; A. R. Moniri Hamzekolaee

Volume 7, Issue 2 , Winter and Spring 2020, , Pages 167-178

Abstract
  Let M be a right module over a ring R. In this manuscript, we shall study on a special case of F-inverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)-inverse split provided f^(-1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove ...  Read More

2. A GENERALIZATION OF CORETRACTABLE MODULES

A. R. Moniri Hamzekolaee

Volume 5, Issue 2 , Winter and Spring 2018, , Pages 163-176

Abstract
  Let $R$ be a ring and $M$ a right $R$-module. We call $M$, coretractable relative to $\overline{Z}(M)$ (for short, $\overline{Z}(M)$-coretractable) provided that, for every proper submodule $N$ of $M$ containing $\overline{Z}(M)$, there is a nonzero homomorphism $f:\dfrac{M}{N}\rightarrow M$. We investigate ...  Read More