MARC record from Internet Archive

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100 1 $aJacobson, Nathan,$d1910-1999.
245 10 $aPI-algebras :$ban introduction /$cNathan Jacobson.
260 $aBerlin ;$aNew York :$bSpringer-Verlag,$c1975.
300 $a114, [1] pages ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aLecture notes in mathematics ;$v441
504 $aIncludes bibliographical references (page 115).
505 0 $aINTRODUCTION -- 1. Assumed background -- 2. Two results on the radical -- 3. Prime and semi-prime ideals -- I. PI -- ALGEBRAS -- 1. Definitions and examples -- 2. Formal results -- 3. Kaplansky-Amitsur theorem -- 4. Theorem of Amitsur and Levitzki -- 5. Central simple algebras. Converse of Kaplansky-Amitsur theorem -- 6. Nil ideals in algebras without units -- 7. Polynomial identities for algebras without units -- 8. Central polynomials for matrix algebras -- 9. Generic minimum polynomials and central polynomials for finite dimensional central simple algebras -- 10. Commutative localization -- 11. Prime algebras satisfying proper identities -- 12. PI -- Algebras -- 13. Identities of an algebra. Universal PI -- algebras -- II. APPLICATIONS TO FINITE DIMENSIONAL ALGEBRAS -- 1. Extension of isomorphisms. Splitting fields -- 2. The Brauer group of a field -- 3. Cyclic algebras. Some constructions -- 4. Generic matrix algebras -- 5. Division algebras over iterated Laurent series fields -- 6. Non-crossed product division algebras -- 7. Another result on UD(K,n), K an infinite field -- References
650 0 $aRings (Algebra)
650 6 $aAnneaux (Algèbre)
650 7 $aRings (Algebra)$2fast$0(OCoLC)fst01098024
650 7 $aPI-Algebra$2gnd
650 7 $aRing$gMathematik$2gnd
650 07 $aPI-Algebra.$2swd
655 4 $aEinführung.
655 7 $aEinführung.$0(DE-588)4151278-9.$2gnd
776 08 $iOnline version:$aJacobson, Nathan, 1910-1999.$tPI-algebras.$dBerlin ; New York : Springer-Verlag, 1975$w(OCoLC)624492658
830 0 $aLecture notes in mathematics (Springer-Verlag) ;$v441.
856 41 $3Table of contents$uhttp://www.gbv.de/dms/hbz/toc/ht000909933.pdf
856 41 $3Table of contents$uhttp://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=1947210&custom_att_2=simple_viewer
856 41 $uhttp://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=441
856 4 $3Cover$uhttp://swbplus.bsz-bw.de/bsz011169567cov.htm$v20110329093050
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