
Contents
Preface xiii
Authors xvii
Introduction 1
1 Normal Forms for Vectors and Univariate Polynomials 9
1.1 Standard forms . . . . . . . . . . . . . . . . . . . . . . . . . 9
1.1.1 Orders of sets . . . . . . . . . . . . . . . . . . . . . . . 9
1.1.2 Monomials and polynomials . . . . . . . . . . . . . . . 10
1.2 Normal forms . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.2.1 Normal forms of vectors . . . . . . . . . . . . . . . . . 11
1.2.2 Normal forms of univariate polynomials . . . . . . . . 15
2 Noncommutative Associative Algebras 17
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.1.1 Noncommutative polynomial