##### Department of Mathematics,

University of California San Diego

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### Algebra Seminar

## Dan Rogalski

#### UCSD

## Free subalgebras of division rings

##### Abstract:

\indent We report on recent work joint with Jason Bell. Makar-Limanov showed that the quotient division ring of the first Weyl algebra contains a copy of a free algebra on 2 generators. We prove the natural analog of this result for arbitrary iterated skew polynomial rings of fields.

### January 31, 2011

### 2:00 PM

### AP&M 7321

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