LEADER 00997nam0-22003011i-450 001 990004574880403321 005 20230627093648.0 035 $a000457488 035 $aFED01000457488 035 $a(Aleph)000457488FED01 035 $a000457488 100 $a19990530d1908----km-y0itay50------ba 101 0 $ager 102 $aDE 105 $ay-------001yy 200 1 $aHand-Commentar zum Neuern Testament$fbearbeitet von W. Bauer ... [et al.] 210 $aTubingen$cVerlag Mohr$d1908 215 $abd.$d22 cm 327 1 $a4.1$eEvangelium des Johannes$fbearbeitet von H. J. Holtzmann - 3 neub. Aufl.$a4.2$eBriefe und Offenbarung des Johannes$fbearbeitet von H. J. Holtzmann. - 3 neub. Aufl 702 1$aBauer,$bWalter$f<1877-1960> 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004574880403321 952 $a6/III G 21$bS.I.$fFLFBC 952 $a6/III G 22$bS.I.$fFLFBC 959 $aFLFBC 996 $aHand-Commentar zum Neuern Testament$93389278 997 $aUNINA LEADER 04091nam 22007455 450 001 9910299787803321 005 20200705234444.0 010 $a3-319-19734-7 024 7 $a10.1007/978-3-319-19734-0 035 $a(CKB)3710000000454131 035 $a(SSID)ssj0001558434 035 $a(PQKBManifestationID)16183689 035 $a(PQKBTitleCode)TC0001558434 035 $a(PQKBWorkID)14819092 035 $a(PQKB)10154268 035 $a(DE-He213)978-3-319-19734-0 035 $a(MiAaPQ)EBC6315039 035 $a(MiAaPQ)EBC5587100 035 $a(Au-PeEL)EBL5587100 035 $a(OCoLC)1066188069 035 $a(PPN)187685363 035 $a(EXLCZ)993710000000454131 100 $a20150714d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlgebra $eA Teaching and Source Book /$fby Ernest Shult, David Surowski 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XXII, 539 p. 6 illus.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-19733-9 320 $aIncludes bibliographical references and index. 327 $aBasics -- Basic Combinatorial Principles of Algebra -- Review of Elementary Group Properties -- Permutation Groups and Group Actions -- Normal Structure of Groups -- Generation in Groups -- Elementary Properties of Rings -- Elementary properties of Modules -- The Arithmetic of Integral Domains -- Principal Ideal Domains and Their Modules -- Theory of Fields -- Semiprime Rings -- Tensor Products. 330 $aThis book presents a graduate-level course on modern algebra. It can be used as a teaching book ? owing to the copious exercises ? and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan?Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student. 606 $aAssociative rings 606 $aRings (Algebra) 606 $aGroup theory 606 $aAlgebra 606 $aField theory (Physics) 606 $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 606 $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 615 0$aAssociative rings. 615 0$aRings (Algebra) 615 0$aGroup theory. 615 0$aAlgebra. 615 0$aField theory (Physics) 615 14$aAssociative Rings and Algebras. 615 24$aGroup Theory and Generalizations. 615 24$aField Theory and Polynomials. 615 24$aAlgebra. 676 $a512.9 700 $aShult$b Ernest$4aut$4http://id.loc.gov/vocabulary/relators/aut$051973 702 $aSurowski$b David$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299787803321 996 $aAlgebra$92523317 997 $aUNINA