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Fields and rings / Irving Kaplansky.


2d ed.. Chicago : University of Chicago Press, 1972.
ISBN 0226424510, 0226424502

Location Call Number Status Consortium Loan
George Washington
Gelman stacks
QA 247 .K32 1972 Available Request
American
LIB stacks
QA247 .K32 1972 Available Request
Catholic
WRLC Shared Collections Facility
QA247 .K32 1972a Off-site
Request
UDC
Van Ness stacks
QA247 .K32 1972 Available Request
Gallaudet
UNIV General stacks
512.3 K3f, 1972 Available Request
Howard
Founders Library stacks
QA247 K32 1972 Available Request
Subjects Algebra Comutativa.
Algebraic fields.
Anneaux (Algèbre)
Corps algébriques.
Galois theory.
Galois, Théorie de.
Galois-theorie.
Körper (Algebra)
Körpertheorie.
Lichamen (wiskunde)
Ring (Mathematik)
Ringen (wiskunde)
Rings (Algebra)
Series Chicago lectures in mathematics.
Description x, 206 pages ; 21 cm.
Copyright Date 1972.
Notes Includes bibliographical references and index.
Contents pt. I. Fields. Field extensions -- Ruler and compass constructions -- Foundations of Galois theory -- Normality and stability -- Splitting fields -- Radical extensions -- The trace and norm theorems -- Finite fields -- Simple extensions -- Cubic and quartic equations -- Separability -- Miscellaneous results on radical extensions -- Infinite algebraic extensions -- part II. Rings. The radical -- Primitive rings and the density theorem -- Semi-simple rings -- The Wedderburn principal theorem -- Theorems of Hopkins and Levitzki -- Primitive rings with minimal ideals and dual vector spaces -- Simple rings -- part III. Homological dimension. Dimension of modules -- Global dimension -- First theorem on change of rings -- Polynomial rings -- Second theorem on change of rings -- Third theorem on change of rings -- Localization -- Preliminary lemmas -- A regular ring has finite global dimension -- A local ring of finite global dimension is regular -- Injective modules -- The group of homomorphisms -- The vanishing of Ext -- Injective dimension.
Bibliografía e índice.
Network Numbers (OCoLC)481423
(OCoLC)ocm00481423
WorldCat Search OCLC WorldCat
WorldCat Identities Kaplansky, Irving, 1917-2006.
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