Back to Commutative Algebra Seminar: Spring 2015
Commutative Algebra Seminar
Date: Friday, Feb 20, 2015
Time: 3:10PM - 4:00PM
Location: LCB 222
Tony Se
University of Kansas
Title |
Finite F-type and F-abundant modules |
Abstract |
We will introduce and consider basic properties of two types of finitely generated modules over a commutative noetherian ring R of positive prime characteristic. The first is the category of modules of finite F-type. They include reflexive ideals representing torsion elements in the divisor class group. The second class is what we call F-abundant modules. These include, for example, the ring R itself and the canonical module when R has positive splitting dimension. We will discuss some facts about these two categories. Our methods allow us to extend previous results by Patakfalvi-Schwede, Yao and Watanabe. They also afford a deeper understanding of these categories, including complete classifications in many cases of interest. |
Commutative Algebra