Noetherian subrings of power series rings
HTML articles powered by AMS MathViewer
- by Da Qing Wan PDF
- Proc. Amer. Math. Soc. 123 (1995), 1681-1686 Request permission
Abstract:
Let R be a commutative noetherian ring with unit. It is shown that certain subrings contained between the polynomial ring $R[X]$ and the power series ring $R[X][[Y]]$ are also noetherian. These subrings naturally arise from studying p-adic analytic variation of zeta functions over finite fields.References
- B. Dwork and S. Sperber, Logarithmic decay and overconvergence of the unit root and associated zeta functions, Ann. Sci. École Norm. Sup. (4) 24 (1991), no. 5, 575–604. MR 1132758, DOI 10.24033/asens.1637
- William Fulton, A note on weakly complete algebras, Bull. Amer. Math. Soc. 75 (1969), 591–593. MR 238829, DOI 10.1090/S0002-9904-1969-12250-0
- Serge Lang, Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. MR 0197234
- P. Monsky and G. Washnitzer, Formal cohomology. I, Ann. of Math. (2) 88 (1968), 181–217. MR 248141, DOI 10.2307/1970571
- Daqing Wan, Meromorphic continuation of $L$-functions of $p$-adic representations, Ann. of Math. (2) 143 (1996), no. 3, 469–498. MR 1394966, DOI 10.2307/2118533
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1681-1686
- MSC: Primary 13E05; Secondary 13J05
- DOI: https://doi.org/10.1090/S0002-9939-1995-1260186-4
- MathSciNet review: 1260186