Dagmar M. Meyer,Larry Smith's Poincaré Duality Algebras, Macaulay's Dual Systems, and PDF

By Dagmar M. Meyer,Larry Smith

ISBN-10: 0521850649

ISBN-13: 9780521850643

Poincaré duality algebras originated within the paintings of topologists at the cohomology of closed manifolds, and Macaulay's twin structures within the research of irreducible beliefs in polynomial algebras. those rules are tied jointly utilizing easy commutative algebra related to Gorenstein algebras. Steenrod operations additionally originated in algebraic topology, yet may well most sensible be seen as a way of encoding the data frequently hidden at the back of the Frobenius map in attribute p<>0. they supply a noncommutative instrument to check commutative algebras over a Galois box. during this Tract the authors skilfully collect those rules and practice them to difficulties in invariant idea. a couple of outstanding and unforeseen interdisciplinary connections are printed that may curiosity researchers within the components of commutative algebra, invariant conception or algebraic topology.

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Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations (Cambridge Tracts in Mathematics) by Dagmar M. Meyer,Larry Smith


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