About direct summands of projective modules over Laurent polynomial rings
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- by Satya Mandal PDF
- Proc. Amer. Math. Soc. 112 (1991), 915-918 Request permission
Abstract:
Suppose $A$ is a local ring and $R = A[X,{X^{ - 1}}]$ is a Laurent polynomial ring. We prove that for projective $R$-modules $P$ and $Q$ with rank $Q <$ rank $P$ , if ${Q_f}$ is a direct summand of ${P_f}$ for a doubly monic polynomial $f$ then $Q$ is also a direct summand of $P$. We also prove the analogue of the Horrock’s theorem for Laurent polynomials rings.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 112 (1991), 915-918
- MSC: Primary 13C10; Secondary 13B25
- DOI: https://doi.org/10.1090/S0002-9939-1991-1069691-3
- MathSciNet review: 1069691