The almost Gorenstein Rees algebras of parameters

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• 作者：Shiro Goto^a ; ^{goto@math.meiji.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Naoyuki Matsuoka^a ; ^{naomatsu@meiji.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Naoki Taniguchi^a ; ^{taniguti@math.meiji.ac.jp" class="auth_mail" title="E-mail the corresponding author} ; Ken-ichi Yoshida^b ; ^{yoshida@math.chs.nihon-u.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：13H10 ; 13H15 ; 13A30
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：15 April 2016
• 年：2016
• 卷：452
• 期：Complete
• 页码：263-278
• 全文大小：369 K

文摘

There is given a characterization for the Rees algebras of parameters in a Gorenstein local ring to be almost Gorenstein graded rings. A characterization is also given for the Rees algebras of socle ideals of parameters. The latter one shows almost Gorenstein Rees algebras rather rarely exist for socle ideals, if the dimension of the base local ring is greater than two.