论文信息 - Richman extensions of an integral domain

Richman extensions of an integral domain

We introduce the notion of a Richman extension of an integral domain, and show its basic properties. We further show that a flat extension need not be a Richman extension, and a Richman extension need not be an LCM-stable extension.

KEN-ICHI Yoshida | Takasi Sugatani | Nobuharu Onoda

[1] David E. Rush,et al. The Finiteness of I When R: X: /I Is Flat. , 1972 .

[2] F. Richman. Generalized quotient rings , 1965 .