On Gorenstein sequences of socle degrees 4 and 5

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• 作者：Jeaman Ahn^a ; ^{jeamanahn@kongju.ac.kr} ; Yong Su Shin^b ; ^{ysshin@sungshin.ac.kr}
• 关键词：Primary ; 13D40 ; Secondary ; 13H10 ; 14C20
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：217
• 期：5
• 页码：854-862
• 全文大小：240 K

文摘

We determine a new infinite class of symmetric -vectors that cannot be Gorenstein sequences, a result left open in the works (Boji and Zanello, 2010 , Migliore et?al. 2008 ). This includes the example , which was previously unknown. Combined with known results, this gives a complete characterization of the Gorenstein sequences for codimension and socle degree . These results allow us to prove that every Gorenstein sequence of socle degree and codimension is unimodal, which improve the interesting results of for socle degree . Furthermore, our results turn out to be independent of the characteristic of an infinite field , while the results in hold only when .