Regular Sequences and Resultants: 1st Edition (Hardback) book cover

Regular Sequences and Resultants

1st Edition

By Gunter Scheja, Uwe Storch

A K Peters/CRC Press

152 pages

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Hardback: 9781568811512
pub: 2001-05-18
$64.95
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eBook (VitalSource) : 9780429064265
pub: 2001-05-18
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Description

This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and it has become of renewed importance recently in the context of applied and computational algebra. This monograph provides a valuable complement to sparse elimination theory in that it presents in careful detail the algebraic difficulties from working over general base rings. This is essential for applications in arithmetic geometry and many other places. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples. Necessary tools concerning monoids of weights, generic polynomials and regular sequences are treated independently in the first part of the book. Many supplements added to each chapter provide extra details and insightful examples.

About the Series

Research Notes in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT002000
MATHEMATICS / Algebra / General
MAT022000
MATHEMATICS / Number Theory