Journal of Algebra, Number Theory: Advances and ApplicationsAuthor's: Yuji Kamoi
Pages: [1] - [18]
Received Date: October 24, 2016; Revised February 6, 2017
Submitted by: Kazufumi Eto.
DOI: http://dx.doi.org/10.18642/jantaa_7100121734
Let R be a multigraded ring over a local ring. In this paper, we study the Gorenstein property of a diagonal subalgebra of R. Then we give a sufficient condition for this algebra to be Gorenstein. As an application, we apply our result to multi-Rees algebra and show that the diagonal subalgebra of a Gorenstein multi-Rees algebra is Gorenstein in the bigraded case.
Gorenstein rings, multi-Rees algebra, diagonal subalgebra.
