Author: Amini Babak Amini Afshin Ershad Majid
Publisher: Taylor & Francis Ltd
ISSN: 0092-7872
Source: Communications in Algebra, Vol.37, Iss.12, 2009-12, pp. : 4227-4240
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Following [1], a ring R is called right almost-perfect if every flat right R-module is projective relative to R. In this article, we continue the study of these rings and will find some new characterizations of them in terms of decompositions of flat modules. Also we show that a ring R is right almost-perfect if and only if every right ideal of R is a cotorsion module. Furthermore, we prove that over a right almost-perfect ring, every flat module with superfluous radical is projective. Moreover, we define almost-perfect modules and investigate some properties of them.
Related content
On Almost Valuation and Almost Bézout Rings
By Mahdou Najib Mimouni Abdeslam Salam Moutui Moutu Abdou
Communications in Algebra, Vol. 43, Iss. 1, 2015-01 ,pp. :
By Chen Huanyin
Communications in Algebra, Vol. 40, Iss. 9, 2012-09 ,pp. :
Bulletin of the Australian Mathematical Society, Vol. 41, Iss. 2, 1990-04 ,pp. :
By Jhilal Abdellatif Mahdou Najib
Communications in Algebra, Vol. 38, Iss. 3, 2010-03 ,pp. :
By Amini A. Amini B. Ershad M. Sharif H.
Communications in Algebra, Vol. 35, Iss. 3, 2007-03 ,pp. :