Projective modules over rings with many units
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- by B. R. McDonald and William C. Waterhouse PDF
- Proc. Amer. Math. Soc. 83 (1981), 455-458 Request permission
Abstract:
Let $R$ be a commutative ring. Assume that every polynomial whose values generate the unit ideal actually takes on an invertible value. Then projective $R$-modules split into cyclic summands, and those of constant rank are free.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 455-458
- MSC: Primary 13C10; Secondary 13B25
- DOI: https://doi.org/10.1090/S0002-9939-1981-0627668-7
- MathSciNet review: 627668