Back to Commutative Algebra Seminar: Spring 2025
Commutative Algebra Seminar
Date: Friday, Mar 28, 2025
Time: 2:00PM - 3:00PM
Location: LCB 222
2pm
Henning Krause
Bielefeld
Title |
Matlis reflexivity revisited |
Abstract |
Matlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. In my talk I will discuss basic properties, adding some new perspectives on a classical subject. For instance, I’ll explain that Matlis reflexive modules form a Krull-Schmidt category. For noetherian rings the absence of infinite direct sums is a characteristic feature of Matlis reflexivity. This leads to a discussion of objects that are extensions of artinian by noetherian objects. Also, classifications of Matlis reflexive modules for some small examples are discussed. |
Commutative Algebra