Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations: 167 (Cambridge Tracts in Mathematics, Series Number 167) - Image 1

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Cambridge University Press Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations: 167 (Cambridge Tracts in Mathematics, Series Number 167)

Name: Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations: 167 (Cambridge Tracts in Mathematics, Series Number 167)
Brand: Cambridge University Press
Price: 63.2 GBP
Availability: InStock

Algebra

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£63 today · all-time low £63 (Apr 2026) · usually £65

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Description

Poincaré duality algebras originated in the work of topologists on the cohomology of closed manifolds, and Macaulay's dual systems in the study of irreducible ideals in polynomial algebras. These two ideas are tied together using basic commutative algebra involving Gorenstein algebras. Steenrod operations also originated in algebraic topology, but may best be viewed as a means of encoding the information often hidden behind the Frobenius map in characteristic p<>0. They provide a noncommutative tool to study commutative algebras over a Galois field. In this Tract the authors skilfully bring together these ideas and apply them to problems in invariant theory. A number of remarkable and unexpected interdisciplinary connections are revealed that will interest researchers in the areas of commutative algebra, invariant theory or algebraic topology.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521850649
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 18 August 2005
Listed Since: 18 December 2006

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Cambridge University Press Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations: 167 (Cambridge Tracts in Mathematics, Series Number 167)

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