Presented By: Student Commutative Algebra Seminar - Department of Mathematics
Student CA Seminar: Trace Modules over Commutative Rings
Ben Bailey
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.
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