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Finite Rank Torsion Free Modules Over Dedekind DomainsContents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; Locally Free Modules; Near Isomorphism; Direct Sum Decompositions.
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Tags: Modules, Rings, Torsion, Splitting, Isomorphism, Finite, Dedekind |
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Topics in topology: The signature theorem and some of its applications
The author discusses several exciting topological developments that took place during the fifties decade which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula. |
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Tags: Topics, signature, Euler, Chern, isomorphism, signature, Topics, applications, theorem, topology |