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Home > Education > Mathematics > PoincarÈ Algebras Macauley Sys Ops-eBook
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PoincarÈ 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. 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.
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Title of ebook: PoincarÈ Algebras Macauley Sys Ops
ISBN: 9780511128240
Publisher: Cambridge University Press
Internet download file size: 3746 kb
Pages: 199
Released online for download: 08-17-2001
Author of eBook: Meyer, Dagmar M.
Author of eBook: Smith, Larry



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