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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Decomposing overrings


Authors: B. Cortzen, L. W. Small and J. T. Stafford
Journal: Proc. Amer. Math. Soc. 82 (1981), 28-30
MSC: Primary 16A50; Secondary 16A62
DOI: https://doi.org/10.1090/S0002-9939-1981-0603595-6
MathSciNet review: 603595
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Abstract: We show that if $ S \supset R$ are rings such that $ {S_R}$ is projective, then $ {R_R}$ is a direct summand of $ {S_R}$ if and only if $ {S_R}$ is faithfully projective (this condition holds, in particular, if $ {S_R}$ is free).


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DOI: https://doi.org/10.1090/S0002-9939-1981-0603595-6
Article copyright: © Copyright 1981 American Mathematical Society