- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 A remark on QF rings Bull. Korean Math. Soc. 2019 Vol. 56, No. 1, 179-186 https://doi.org/10.4134/BKMS.b180173Published online 2019 Jan 31 Feng Feng, Liang Shen Southeast University; Southeast University Abstract : This article mainly concentrates on the open question wheth\-er a right self-injective ring $R$ is necessary QF if $R/S_l$ is left Goldie. It is answered affirmatively under the condition $S_l\subseteq S_r$, where $S_l$ and $S_r$ denote the left socle and right socle of $R$ respectively. And the original condition right self-injective" can be weakened to right CS and right P-injective". It is also proved that a semiperfect, left and right mininjective ring $R$ is QF if $S_r\subseteq^{ess}R_R$ and $R/S_l$ is left Goldie. Keywords : QF rings, annihilators, mininjective rings MSC numbers : Primary 16L60, 16D50 Full-Text :