Volume no :16, Issue no: 2, December (2016)

ON GORENSTEIN REES ALGEBRAS OF CODIMENSION THREE

Author's: Yuji Kamoi
Pages: [101] - [126]
Received Date: October 8, 2016; Revised November 28, 2016
Submitted by: Kazufumi Eto.
DOI: http://dx.doi.org/10.18642/jantaa_7100121731

Abstract

The aim of this paper is to determine a structure of an ideal such that its Rees algebra is a Gorenstein ring of codimension three. In order to prove our results, we study a structure of free resolutions of certain grade 2 ideals having projective dimension 2.

Keywords

Gorenstein rings, Rees algebra, Gorenstein ideal of grade 3.