Exercises in Classical Ring TheorySpringer-Verlag, 1995 - 287 pages |
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Page iv
... Mathematics Santa Clara University Santa Clara , CA 95053 USA Mathematics Subject Classifications ( 1991 ) : 13-01 , 16-01 Library of Congress Cataloging - in - Publication Data Lam , T.Y. ( Tsit - Yuen ) , 1942- Exercises in classical ...
... Mathematics Santa Clara University Santa Clara , CA 95053 USA Mathematics Subject Classifications ( 1991 ) : 13-01 , 16-01 Library of Congress Cataloging - in - Publication Data Lam , T.Y. ( Tsit - Yuen ) , 1942- Exercises in classical ...
Page ix
... mathematical insights have greatly enhanced the qual- ity of this work . Other colleagues have helped by providing examples and counterexamples , suggesting alternative solutions , pointing out references and answering my mathematical ...
... mathematical insights have greatly enhanced the qual- ity of this work . Other colleagues have helped by providing examples and counterexamples , suggesting alternative solutions , pointing out references and answering my mathematical ...
Page 76
... Math . J. 23 ( 1956 ) , 35-40 . ) Most remarkably , Dade has constructed a pair of non- isomorphic finite groups G , G ' such that kGkG ' ( as k - algebras ) for all fields k ! ( See Math . Zeit . 119 ( 1971 ) , 345-348 . ) For an ...
... Math . J. 23 ( 1956 ) , 35-40 . ) Most remarkably , Dade has constructed a pair of non- isomorphic finite groups G , G ' such that kGkG ' ( as k - algebras ) for all fields k ! ( See Math . Zeit . 119 ( 1971 ) , 345-348 . ) For an ...
Table des matières
2 Semisimplicity | 16 |
Jacobson Radical Theory 35 1981 | 35 |
6 Group rings and the Jsemisimplicity problem | 57 |
Droits d'auteur | |
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Expressions et termes fréquents
a₁ abelian artinian ring assume automorphism B₁ central idempotents char commutative ring conjugate consider constructed contradiction decomposition Dedekind-finite defined division ring domain element endomorphism equation Exercise exists fact finite group finite-dimensional follows group G hopfian idempotent identity implies indecomposable integer inverse irreducible isomorphism J-semisimple Jacobson radical k-algebra kG-module left ideal left primitive ring Lemma Let G linear local ring M₁ matrix maximal ideal maximal left ideal maximal subfield minimal left module multiplication Neumann regular ring nil ideal nilpotent ideal noetherian ring noncommutative nonzero polynomial prime ideal primitive idempotents primitive rings proof prove quasi-regular R-module R/rad rad kG representation resp right ideal right R-module ring theory semilocal ring semiprime semisimple ring show that rad simple left R-module simple ring soc(RR Solution stable range strongly regular subdirect product subgroup subring Theorem unit-regular zero