TY - JOUR ID - 1427 TI - H$^*$-condition on the set of submodules of a module JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Moniri Hamzekolaee, Ali Reza AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar Y1 - 2019 PY - 2019 VL - 6 IS - 2 SP - 13 EP - 20 KW - $H$-supplemented module KW - cosingular module KW - $H^*$-module DO - 10.22034/as.2019.1427 N2 - In this work, we introduce $H^*$-condition on the set of submodules of a module. Let $M$ be a module. We say $M$ satisfies $H^*$ provided that for every submodule $N$ of $M$, there is a direct summand$D$ of $M$ such that $(N+D)/N$ and $(N+D)/D$ are cosingular. We show that over a right perfect right $GV$-ring,a homomorphic image of a $H^*$ duo module satisfies $H^*$. UR - https://as.yazd.ac.ir/article_1427.html L1 - https://as.yazd.ac.ir/article_1427_994a6c2c0b2bd9f31607c92131216852.pdf ER -