000 03041nam a22004935i 4500
001 978-0-387-71568-1
003 DE-He213
005 20161121231124.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387715681
_9978-0-387-71568-1
024 7 _a10.1007/978-0-387-71568-1
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
082 0 4 _a512
_223
100 1 _aGrillet, Pierre Antoine.
_eauthor.
245 1 0 _aAbstract Algebra
_h[electronic resource] /
_cby Pierre Antoine Grillet.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXII, 674 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v242
505 0 _aGroups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories.
520 _a"Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt .
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aAssociative rings.
650 0 _aRings (Algebra).
650 0 _aGroup theory.
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
650 2 4 _aAssociative Rings and Algebras.
650 2 4 _aGroup Theory and Generalizations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387715674
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v242
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-71568-1
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508926
_d508926