Events

October 14, 2014 at 7:45 pm

Rings Whose Multiplicative Endomorphisms are Power Functions, Oct. 14

The Athens Algebra Seminar series presents Dr. Greg Oman on “Rings Whose Multiplicative Endomorphisms Are Power Functions, on Tuesday, Oct. 14,  at 4 p.m. in Morton 226.

Oman is Assistant Professor of Mathematics at the University of Colorado at Colorado Springs.

Note that Athens Algebra Seminars is on a Tuesday. (The regular day is Thursday.)

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 multiplicative 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.

For more information, contact Dr. Sergio R. López-Permouth, Professor of Mathematics, Director of the Center of Ring Theory and its Applications (CRA) and Executive Editor of the Journal of Algebra and its Applications (JAA).

 

 

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