LEADER 02979nam 22005655 450 001 9910299982803321 005 20200703221203.0 010 $a3-319-08693-6 024 7 $a10.1007/978-3-319-08693-4 035 $a(CKB)3710000000269617 035 $a(SSID)ssj0001372670 035 $a(PQKBManifestationID)11785453 035 $a(PQKBTitleCode)TC0001372670 035 $a(PQKBWorkID)11312972 035 $a(PQKB)11625428 035 $a(DE-He213)978-3-319-08693-4 035 $a(MiAaPQ)EBC5578622 035 $a(PPN)18209880X 035 $a(EXLCZ)993710000000269617 100 $a20141013d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to Noncommutative Algebra /$fby Matej Bre?ar 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (XXXVII, 199 p.) 225 1 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-08692-8 327 $aFinite Dimensional Division Algebras -- Structure of Finite Dimensional Algebras -- Modules and Vector Spaces -- Tensor Products -- Structure of Rings -- Noncommutative Polynomials -- Rings of Quotients and Structure of PI-Rings. 330 $aProviding an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. This is followed by Jacobson's structure theory of rings. The final chapters treat free algebras, polynomial identities, and rings of quotients. Many of the results are not presented in their full generality. Rather, the emphasis is on clarity of exposition and simplicity of the proofs, with several being different from those in other texts on the subject. Prerequisites are kept to a minimum, and new concepts are introduced gradually and are carefully motivated. Introduction to Noncommutative Algebra is therefore accessible to a wide mathematical audience. It is, however, primarily intended for beginning graduate and advanced undergraduate students encountering noncommutative algebra for the first time. 410 0$aUniversitext,$x0172-5939 606 $aAssociative rings 606 $aRings (Algebra) 606 $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027 615 0$aAssociative rings. 615 0$aRings (Algebra). 615 14$aAssociative Rings and Algebras. 676 $a512.24 700 $aBre?ar$b Matej$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721264 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299982803321 996 $aIntroduction to noncommutative algebra$91409855 997 $aUNINA