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. 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 ...
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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. 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.
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Add this copy of Poincaré Duality Algebras, Macaulay's Dual Systems, and to cart. $47.00, like new condition, Sold by Avon Hill Books rated 5.0 out of 5 stars, ships from Cambridge, MA, UNITED STATES, published 2005 by Cambridge University Press.
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Fine in Good+ dust jacket. 0521850649. Dust jacket half puckered from a sizeable dampstain. It fits nicely flat on book.; 8vo 8"-9" tall; 202 pp; Cambridge Tracts In Mathematics, Series Number 167.
Add this copy of Poincaré Duality Algebras, Macaulay's Dual Systems, and to cart. $124.70, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2005 by Cambridge University Press.
