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On commutative P. P.
rings
Michael W. Evans |
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Vol. 41 (1972), No. 3, 687–697
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Abstract |
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The purpose of this paper is to study further the ideal and module structure of a commutative ring with identity, in which every principal ideal is projective. Results concerning particular modules being projective are also obtained, e.g. if R is a commutative ring with identity, then ZR(RR) = 0 and every finitely generated nonsingular R-module is projective if and only if R is semihereditary and K, the classical ring of quotients of R, is selfinjective. |
Mathematical Subject Classification 2000
Primary: 13D99
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Milestones
Received: 19 March 1971
Revised: 19 August 1971
Published: 1 June 1972
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Authors |
| Michael W. Evans | |
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