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100   $a20121212d2012||||  uy|            0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA guide to groups, rings, and fields /$fFernando Q. Gouve?a$b[electronic resource]
210  1$aWashington :$cMathematical Association of America,$d2012.
215   $a1 online resource (xvii, 309 pages) $cdigital, PDF file(s)
225 1 $aDolciani Mathematical Expositions, $vv. 48
225  0$aDolciani mathematical expositions ;$vno. 48
225  0$aMAA guides ;$vno. 8
300   $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015).
311   $a0-88385-355-8 
320   $aIncludes bibliographical references (p. 277-283) and indexes.
327   $aAlgebra : classical, modern, and ultramodern -- Categories -- Algebraic structures -- Groups and their representations -- Rings and modules -- Fields and skew fields.
330   $aThis Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work.
410  0$aDolciani Mathematical Expositions
517 3 $aA Guide to Groups, Rings, & Fields
606   $aAlgebra
606   $aRings (Algebra)
606   $aAlgebraic fields
615  0$aAlgebra.
615  0$aRings (Algebra)
615  0$aAlgebraic fields.
676   $a512
700   $aGouve?a$b Fernando Q$g(Fernando Quadros),$0382239
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910786153303321
996   $aA guide to groups, rings, and fields$93847494
997   $aUNINA