Two counterexamples about the Nagata and Serre conjecture rings

[摘要] We construct two counterexamples to the open questions : is R) strong S(resp. catenary) when R(n) is ? The first example is a ring R such that R(n) is strong S and R(n) is not. The second is a stably strong S-domain R such that for all n greater than or equal to 1 and n = ,R(n) is catenary and R(n) is not. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-10-25