# MATH 519 Topics in "Algebra": Groebner Bases

#### Fall 2015

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Professor:
Dr. Janet Vassilev

Office: SMLC 324

Office
Hours: MWF 9 -10 am and by appointment.

Telephone: (505)
277-2214

email: jvassil@math.unm.edu

webpage: **http://www.math.unm.edu/~jvassil**

Texts
: Using Algebraic Geometry by Cox, Little and O'Shea, 2nd Edition. For reference you may also want to look at Ideals, Varieties and Algorithms by Cox, Little and O'Shea or An Introduction to Groebner Bases by Adams and Loustaunau.

Course
Meetings: The course lectures will be held in Mitchell 211 on MWF at 1-1:50 pm. ** **

Topics: Deciding
whether an element of a commutative ring belongs to an ideal or whether
two ideals are equal and finding the inverse of an element in a
quotient rings can be daunting tasks. We will introduce Groebner
bases and algorithms for finding them and show how they can make each
of the above tasks easier.