[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b170600

PULLBACKS OF 𝓒-HEREDITARY DOMAINS

Pu, Yongyan (College of Mathematics and Software Science Sichuan Normal University)
Tang, Gaohua (College of Mathematics and Statistics Guangxi Teacher's Education University)
Wang, Fanggui (College of Mathematics and Software Science Sichuan Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.4, 2018 , pp. 1093-1101 More about this Journal

Abstract

Let (RDTF, M) be a Milnor square. In this paper, it is proved that R is a ${\mathcal{C}}$ -hereditary domain if and only if both D and T are ${\mathcal{C}}$ -hereditary domains; R is an almost perfect domain if and only if D is a field and T is an almost perfect domain; R is a Matlis domain if and only if T is a Matlis domain. Furthermore, to give a negative answer to Lee, s question, we construct a counter example which is a C-hereditary domain R with $w.gl.dim(R)={\infty}$ .

Keywords

${\mathcal{C}}$ -hereditary domain; Matlis domain; almost perfect domain; Milnor square;

Citations & Related Records

Reference

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