Title of article
Quasi-socle ideals in Gorenstein numerical semigroup rings
Author/Authors
Shiro Goto، نويسنده , , Satoru Kimura، نويسنده , , Naoyuki Matsuoka، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
18
From page
276
To page
293
Abstract
Quasi-socle ideals, that is the ideals I of the form in Gorenstein numerical semigroup rings over fields are explored, where Q is a parameter ideal, and is the maximal ideal in the base local ring, and q 1 is an integer. The problems of when I is integral over Q and of when the associated graded ring G(I)= n 0In/In+1 of I is Cohen–Macaulay are studied. The problems are rather wild; examples are given.
Keywords
associated graded ring , Rees algebra , multiplicity , integral closure , Quasi-socle ideal , Numerical semigroup , Gorenstein local ring
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698674
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