Description
Book SynopsisAs algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Grobner Bases is one topic which has recently become a very popular and important area of modern algebra.
Table of ContentsRings.
Fields, and Ideals.
Monomial Ideals.
Gröbner Bases.
Algebraic Sets.
Primary Decomposition of Ideals.
Solving Systems of Polynomial Equations.
Applications of Gröbner Bases.
Homogeneous Algebras.
Projective Varieties.
The Associated Graded Ring.
Hilbert Series.
Variations of Gröbner Bases.
Improvements to Buchberger's Algorithm.
Software.
Hints to Some Exercises.
Answers to Exercises.
Bibliography.
Index.
