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http://dx.doi.org/10.11568/kjm.2018.26.4.701

GENERALIZED NORMALITY IN RING EXTENSIONS INVOLVING AMALGAMATED ALGEBRAS

Kwon, Tae In (Department of Mathematics, Changwon National University)
Kim, Hwankoo (Division of Computer & Information Engineering, Hoseo University)

Publication Information

Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 701-708 More about this Journal

Abstract

In this paper, seminormality and t-closedness in ring extensions involving amalgamated algebras are studied. Let $R{\subseteq}T$ be a ring extension with ideals $I{\subseteq}J$ , respectively such that J is contained in the conductor of R in T. Assume that T is integral over R. Then it is shown that ( $R{\bowtie}I$ , $T{\bowtie}J$ ) is a seminormal (resp., t-closed) pair if and only if (R, T) is a seminormal (resp., t-closed) pair.

Keywords

semi normal (pair); t-closed (pair); amalgamated algebra;

Citations & Related Records

Reference

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