Published January 1, 2024 | Version v1
Journal article Open

On the rings whose injective right modules are max-projective

  • 1. Hatay Mustafa Kemal Univ, Dept Math, Hatay, Turkiye

Description

Recently, right almost-QF (respectively, max-QF) rings that is the rings whose injective right modules are R-projective (respectively, max-projective) were studied by the first two authors. In this paper, our aim is to give some further characterizations of these rings over more general classes of rings, and address several questions about these rings. We obtain characterizations of max-QF rings over several classes of rings including local, semilocal right semihereditary, right non-singular right Noetherian and right non-singular right finite dimensional rings. We prove that for a ring R being right almost-QF and right max-QF are not left-right symmetric. We also show that right almost-QF and right max-QF rings are not closed under factor rings. This leads us to consider the rings all of whose factor rings are almost-QF and max-QF.

Files

bib-4ea6d369-61f9-45e9-9032-5ec6c940a132.txt

Files (161 Bytes)

Name Size Download all
md5:ec476c2de9e3f3321067930ec7344ce4
161 Bytes Preview Download