Read e-book online Modules over Endomorphism Rings (Encyclopedia of Mathematics PDF

By Theodore G. Faticoni

ISBN-10: 0521199603

ISBN-13: 9780521199605

this can be an in depth synthesis of modern paintings within the examine of endomorphism earrings and their modules, bringing jointly direct sum decompositions of modules, the category variety of an algebraic quantity box, element set topological areas, and classical noncommutative localization. the most inspiration in the back of the ebook is to review modules G over a hoop R through their endomorphism ring EndR(G). the writer discusses a wealth of effects that classify G and EndR(G) through various homes, and specifically effects from element set topology are used to supply an entire characterization of the direct sum decomposition houses of G. For graduate scholars it is a necessary advent, whereas the more matured mathematician will detect that the publication includes effects that aren't another way to be had. every one bankruptcy incorporates a record of routines and difficulties for destiny examine, which offer a springboard for college students getting into smooth expert mathematics.

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