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Note on P.P. Rings: (A Supplement to Hattoriās Paper)
- Source :
- Nagoya Mathematical Journal. 17:167-170
- Publication Year :
- 1960
- Publisher :
- Cambridge University Press (CUP), 1960.
-
Abstract
- A ring R is called, according to [2], a left p.p. ring if any principal left ideal of R is projective. A ring which is left and right p.p. is called a p.p. ring.In this short note we shall give some additional remarks to A. Hattori [2]. In Proposition 1 we shall give a characterization of commutative p.p. rings, and in Proposition 3 we shall give a generalization of Proposition 17 and 18 in [2], which shows also that the modified torsion theory over commutative p.p. rings coincides with the usual torsion theory.
Details
- ISSN :
- 21526842 and 00277630
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- Nagoya Mathematical Journal
- Accession number :
- edsair.doi...........bcf200d1e4a4d414e87047509196fdda