Back to Commutative Algebra Seminar: Fall 2014
Commutative Algebra Seminar
Date: Friday, Aug 29, 2014
Time: 3:10PM - 4:00PM
Location: LCB 323
Youngsu Kim
University of California, Riverside
Title |
Quasi-Gorensteinness of Extended Rees Algebras |
Abstract |
Let R be a Noetherian ring and I an ideal. It is well known that if the associated graded ring gr_I(R) is Cohen-Macaulay or Gorenstein, then so is R. However, the converse does not hold true in general. Therefore, it is interesting to investigate under which conditions good properties of R transfer to gr_I(R) or, more generally, to Rees algebras. In this talk, we show that for some classes of extended Rees algebras, the quasi-Gorensteinness implies Gorensteinness. |
Commutative Algebra