The relative form of gersten’s conjecture for power series over a complete discrete valuation ring
Abstract
A relative form of Gersten’s Conjecture is established for a ring of formal power series over a complete discrete valuation ring. The main corollaries are that the absolute version of Gersten’s Conjecture is valid for such a ring if it is valid for arbitrary discrete valuation rings, and, consequently, that the conjecture is true for such a ring if we use AT-theory with finite coefficients of order prime to the characteristic of the residue field. © 1990 American Mathematical Society.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/S0002-9939-1990-1013980-4
Keywords
Algebraic K-theory, Gersten’s conjecture
Publication Date
1-1-1990
Recommended Citation
Reid, L., and C. Sherman. "The relative form of Gersten’s conjecture for power series over a complete discrete valuation ring." Proceedings of the American Mathematical Society 109, no. 3 (1990): 611-613.
Journal Title
Proceedings of the American Mathematical Society
