Description of homology and cohomology theories of connected algebras as quotients of ideals of free connected algebras.

Title: Description of homology and cohomology theories of connected algebras as quotients of ideals of free connected algebras.
Identifier: AAI3083667
identifier: 3083667
Creator: Goldstein, Avraham.
Contributor: Adviser: Martin Bendersky
Date: 2003
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: In this work we give develop technics of calculations with the ideals of the free connected algebras. We use those technics to calculate the homology and the cohomology vector spaces and the kernels and the co-kernels of the product of the cohomology spaces of connected algebras as quotients of ideals of the "overlying" free connected algebras.;This permits us to prove some results about connected algebras with certain cohomology structure. We also demonstrate our methods at calculating the cohomology structure of Mod 2 Steenrod algebra and some of its sub-algebras.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.

Media: Description of homology and cohomology theories of connected algebras as quotients of ideals of free connected algebras.