Download E-books Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations (Cambridge Tracts in Mathematics) PDF

By Dagmar M. Meyer

Poincaré duality algebras originated within the paintings of topologists at the cohomology of closed manifolds, and Macaulay's twin platforms within the learn of irreducible beliefs in polynomial algebras. those rules are tied jointly utilizing uncomplicated commutative algebra concerning Gorenstein algebras. Steenrod operations additionally originated in algebraic topology, yet might top be considered as a method 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 compile those rules and practice them to difficulties in invariant idea. a few outstanding and unforeseen interdisciplinary connections are printed that may curiosity researchers within the parts of commutative algebra, invariant conception or algebraic topology.

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