The Gorenstein Property of Semigroup Rings

碩士 === 國立臺灣大學 === 數學研究所 === 99 === This thesis is divided into two parts. In the first part, we present necessary preliminaries and prove the main result of Stanley [10] : for a semigroup Γ ⊂ Zn≥0, the semigroup ring k[Γ] is Gorenstein if and only if the Poincare series F(k[Γ],λ) is symmetric. In th...

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Bibliographic Details
Main Authors: Chih-Wei Chang, 張志偉
Other Authors: 朱樺
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/16186237433459591135