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Finite Rank Torsion Free Modules Over Dedekind Domains
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Finite Rank Torsion Free Modules Over Dedekind DomainsFinite 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
Maximal Orders (London Mathematical Society Monographs New Series)
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Maximal Orders (London Mathematical Society Monographs New Series)Maximal Orders (London Mathematical Society Monographs New Series)

This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the classical theory of orders and maximal orders over a Dedekind ring. It starts wtih a long chapter that provides the algebraic prerequisites for this theory, covering basic material on Dedekind domains, localizations and completions as well as semisimple rings and separable algebras.
 
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Tags: orders, introduction, provides, Dedekind, theory, provides, Maximal, orders, Monographs