Given modules M and N over a commutative ring R, the trace of M inside N is the smallest submodule of N containing the image of all morphisms in Hom(M, N). In particular, the trace ideal of M is defined as the trace of M in R.
Over the course of the talk, we will go over basic results about trace modules and characterize some classes of commutative rings in terms of their trace ideals.
Over the course of the talk, we will go over basic results about trace modules and characterize some classes of commutative rings in terms of their trace ideals.
| Building: | East Hall |
|---|---|
| Event Type: | Workshop / Seminar |
| Tags: | Mathematics, seminar |
| Source: | Happening @ Michigan from Student Commutative Algebra Seminar - Department of Mathematics, Department of Mathematics |
