Original Article
Kyungpook Mathematical Journal 2013; 53(1): 25-35
Published online March 23, 2013
Copyright © Kyungpook Mathematical Journal.
Module-theoretic Characterizations of Strongly $t$-linked Extensions
Hwankoo Kim1, Tae In Kwon2
1Department of Information Security, Hoseo University, Asan 336-795, Korea
2Department of Applied Mathematics, Changwon National University, Changwon, 641-773, Korea
Received: March 23, 2013; Revised: March 23, 2013; Accepted: March 23, 2013
In this paper, we introduce and study the concept of "strongly $t$-linked extensions", which is a stronger version of $t$-linked extensions of integral domains. We show that for an extension of Prüfer $v$-multiplication domains, this concept is equivalent to that of "$w$-faithfully flat".
Keywords: (strongly) $t$-linked, $w$-faithfully flat, $w$-flat, PvMD