"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."
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Inside This Book
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First Sentence:
As argued in the introduction, the set of solutions of a set of polynomials over a certain ground-field is at the heart of algebraic geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
same algebraic set, grlex order, projective algebraic set, monomial ideal, affine algebraic set, polynomial isomorphism, projective change, rational parametric representation, graded prime ideal, graded ideal, monomial order, nonsingular cubic curve, irreducible algebraic sets, finitely generated field extension, ideal membership problem, ring epimorphism, affine change, uniformizing parameter, polynomial mapping, irreducible conic, projective closure, rational parametrization, affine case, coordinate subspace, affine variety Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proposition Let, Theorem Let, Definition Let, Proof Exercise, Proof Let, Corollary Let, Hilbert's Nullstellensatz, Dimension of Algebraic Sets, Proof Put, Prove Proposition, Proof First, Prove Lemma New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
As argued in the introduction, the set of solutions of a set of polynomials over a certain ground-field is at the heart of algebraic geometry. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
same algebraic set, grlex order, projective algebraic set, monomial ideal, affine algebraic set, polynomial isomorphism, projective change, rational parametric representation, graded prime ideal, graded ideal, monomial order, nonsingular cubic curve, irreducible algebraic sets, finitely generated field extension, ideal membership problem, ring epimorphism, affine change, uniformizing parameter, polynomial mapping, irreducible conic, projective closure, rational parametrization, affine case, coordinate subspace, affine variety Key Phrases - Capitalized Phrases (CAPs): (learn more)
Proposition Let, Theorem Let, Definition Let, Proof Exercise, Proof Let, Corollary Let, Hilbert's Nullstellensatz, Dimension of Algebraic Sets, Proof Put, Prove Proposition, Proof First, Prove Lemma New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 44
books:
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- Set Theory by Thomas Jech in Back Matter (1), Back Matter (2), and Back Matter (3)
- Introduction to Set Theory, Third Edition, Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) by Karel Hrbacek in Back Matter (1), Back Matter (2), and Back Matter (3)
- Fundamentals of Pattern Recognition (Chapman & Hall/CRC Pure and Applied Mathematics) by Monique L. Pavel in Back Matter (1), and Back Matter (2)
- Calculus in Vector Spaces (Chapman & Hall/CRC Pure and Applied Mathematics) by Lawrence Corwin in Back Matter (1), and Back Matter (2)
- Mathematical Analysis (Pure and Applied Mathematics) by G. Klambauer in Back Matter
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