Basics.- 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.
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Ernest Shult studied finite groups with Michio Suzuki and held visiting fellowships at the University of Chicago and the Princeton Institute for Advanced Study in the 1960's. He continued to contribute to finite groups until he got interested in incidence geometry, In 1987-8 he received a US Scientist Award from the Alexander von Humboldt Foundation in Freiburg Germany.
David Surowski studied with Larry C. Grove and wrote numerous papers on the representation theory of groups with (B, N) pairs. Eventually his research came to include regular maps on surfaces. He was the recipient of many teaching awards and directed two summer institutes for young students of high ability. He died in March 2011.
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Vendeur : Brook Bookstore On Demand, Napoli, NA, Italie
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This 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. 564 pp. Englisch. N° de réf. du vendeur 9783319197333
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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Vendeur : moluna, Greven, Allemagne
Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents an accessible avenue to the major theorems of modern algebraEach chapter can be easily adapted to create a one-semester courseWritten in a lively, engaging styleErnest Shult studied finite groups with Michio Suzuki and h. N° de réf. du vendeur 31549378
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Vendeur : Revaluation Books, Exeter, Royaume-Uni
Paperback. Etat : Brand New. 676 pages. 9.00x6.00x1.25 inches. In Stock. N° de réf. du vendeur x-3319197339
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