UTA Department of Mathematics

Algebra Seminar

Date/Time/Room: Friday (10/19/2007) at 4:00pm in 487 Pickard Hall

Speaker: Jared Painter
Department of Mathematics
The University of Texas at Arlington


"Primary decomposition of ideals in commutative rings"

Abstract: Methods of computing a primary decomposition of ideals in commutative rings will be discussed. A simple method will be shown for ideals in a principal ideal domain. More complex algorithms will be discussed for polynomial rings over fields. Also, we will discover a nice family of rings in which primary decompositions of ideals always exist.