Relative $S$-invariants
HTML articles powered by AMS MathViewer
- by Robert O. Stanton PDF
- Proc. Amer. Math. Soc. 65 (1977), 221-224 Request permission
Abstract:
Warfield has defined the concept of a ${T^\ast }$-module over a discrete valuation ring and has proved a classification theorem for these modules. In this paper, the invariant S defined by the author is extended. This allows a generalization of the classification theorem of Warfield.References
- László Fuchs, Infinite abelian groups. Vol. II, Pure and Applied Mathematics. Vol. 36-II, Academic Press, New York-London, 1973. MR 0349869
- R. O. Stanton, An invariant for modules over a discrete valuation ring, Proc. Amer. Math. Soc. 49 (1975), 51–54. MR 360572, DOI 10.1090/S0002-9939-1975-0360572-8
- Elbert A. Walker, Ulm’s theorem for totally projective groups, Proc. Amer. Math. Soc. 37 (1973), 387–392. MR 311805, DOI 10.1090/S0002-9939-1973-0311805-3
- R. B. Warfield Jr., Classification theorems for $p$-groups and modules over a discrete valuation ring, Bull. Amer. Math. Soc. 78 (1972), 88–92. MR 291284, DOI 10.1090/S0002-9904-1972-12870-2 —, Classification theory of abelian groups. II: Local Theory (to appear).
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 221-224
- MSC: Primary 13C05; Secondary 13F99
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447206-0
- MathSciNet review: 0447206