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Commutative Algebra Seminar - Greg Oman

The Golden Hourglass by Craig Schaffer
March 23, 2015
3:00 pm - 4:00 pm
MW154

Title:  Rings whose multiplicative endomorphisms are power functions

Speaker:  Greg Oman, University of Colorado, Colorado Springs

Abstract:  Let R be a commutative ring.  For any positive integer m, the power function f: R - R defined by f(x):=x^m is easily seen to be an endomorphism of the multiplica- tive semigroup (R,*).  In this talk, I will characterize the commutative rings R with identity for which every multiplicative endomorphism of (R,*) is equal to a power function.  I will close with some open questions and some partial answers due to Ryzard Mazurek.