One counterexample for two open questions about the rings R(X) and R⟨X⟩

[摘要] We propose to give an answer to two open questions: is R(X) strong S (resp., catenarian) when R(X) is? We construct a ring R such that R(X) is both catenarian and strong S whereas R(X) is neither catenarian nor strong S. (C) 1999 Academic Press.

[发布日期] 1999-12-15