ON THE FAILURE OF GORENSTEINESS FOR THE SEQUENCE (1, 125, 95, 77, 70, 77, 95, 125, 1)

• 발행기관: 충청수학회
• 저자명: Jeaman Ahn
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 28, No. 4, 537~543쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2015.11.30

국문 초록

In[9], the authors determine an infinite class of nonunimodal Gorenstein sequence, which includes the example¯h1 = (1, 125, 95, 77, 71, 77, 95, 125, 1). They raise a question whether there is a Gorenstein algebra with Hilbert function ¯h2 = (1, 125, 95, 77, 70, 77, 95, 125, 1), which has remained an open question. In this paper, we prove that there is no Gorenstein algebra with Hilbert function ¯h2 .

목차

1. Introduction

2. Gorenstein Hilbert functions

3. The sequence (1, 125, 95, 77, 70, 77, 95, 125, 1) is not a Goren-stein sequence.

키워드

Gorenstein algebra Hilbert function Unimodality binomial expansion.