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On semi-hereditary rings

1961
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Journal of the Mathematical Society of Japan
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A ring R with unit element is called " left (right) semi-hereditary " according to [21 if any finitely generated left (right) ideal of R is projective. The purpose of this paper is to determine completely the structure of commutative semi-hereditary rings. A. Hattori has recently given in [6] a homological characterization of Prefer rings, i. e., semi-hereditary integral domains. This was generalized by M. Harada [51 to commutative rings whose total quotient rings are regular. The results of

doi:10.2969/jmsj/01320109
fatcat:yp2yo2b2ubhkhkb3un2qsl3fqu