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Mathematics Poincar¨¦ Duality Algebras, Macaulay
Posted on 2010-04-15
|
Author: Dagmar M. Meyer, Larry Smith
Publisher: Cambridge University Press (2005) Binding: Hardcover, 202 pages pricer: $94.00 ISBN-10: 0521850649 editorialreviews Poincar¨¦ 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. Steenrod operations also originated in algebraic topology and they provide a noncommutative tool to study commutative algebras over a Galois field. 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. checked
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