Finite Rank Torsion Free Modules Over Dedekind Domains
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|E. Lee Lady; University of Hawaii|
|A book that discusses abelian group theory as not just another variety of group theory but the study of modules over principal ideal domains, a highly specialized branch of commutative ring theory. Postscript and DVI versions. Chapters: 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; Bibliography on torsion free abelian groups.|
|Resource Types:||Books, Bibliographies|
|Math Topics:||Group Theory, Rings/Ideals|
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