Book by Joseph J Rotman
"Sinopsis" puede pertenecer a otra edición de este libro.
This book is designed as a text for the first year of graduate algebra, but it can also serve as a reference since it contains more advanced topics as well. This second edition has a different organization than the first. It begins with a discussion of the cubic and quartic equations, which leads into permutations, group theory, and Galois theory (for finite extensions; infinite Galois theory is discussed later in the book). The study of groups continues with finite abelian groups (finitely generated groups are discussed later, in the context of module theory), Sylow theorems, simplicity of projective unimodular groups, free groups and presentations, and the Nielsen-Schreier theorem (subgroups of free groups are free). The study of commutative rings continues with prime and maximal ideals, unique factorization, noetherian rings, Zorn's lemma and applications, varieties, and Grobner bases. Next, noncommutative rings and modules are discussed, treating tensor product, projective, injective, and flat modules, categories, functors, and natural transformations, categorical constructions (including direct and inverse limits), and adjoint functors. Then follow group representations: Wedderburn-Artin theorems, character theory, theorems of Burnside and Frobenius, division rings, Brauer groups, and abelian categories. Advanced linear algebra treats canonical forms for matrices and the structure of modules over PIDs, followed by multilinear algebra. Homology is introduced, first for simplicial complexes, then as derived functors, with applications to Ext, Tor, and cohomology of groups, crossed products, and an introduction to algebraic $K$-theory. Finally, the author treats localization, Dedekind rings and algebraic number theory, and homological dimensions. The book ends with the proof that regular local rings have unique factorization. (GSM/114)
"Sobre este título" puede pertenecer a otra edición de este libro.
Descripción Softcover. Estado de conservación: New. 2nd edition. Brand New; Paperback; Black & White or Color International Edition. ISBN and Cover page may differ but similar contents as US edition. GET IT FAST in 3-5 business days by DHL/FEDEX with tracking number. Books printed in English. No shipping to PO Box/APO/FPO address. In some instances, the international textbooks may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code or CD is not provided with these editions, unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Nº de ref. de la librería INAB1524883
Descripción Estado de conservación: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-43899
Descripción Estado de conservación: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Nº de ref. de la librería ABE-FEB-66847
Descripción Estado de conservación: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Nº de ref. de la librería SHUB66847
Descripción Estado de conservación: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Nº de ref. de la librería AUSBNEW-43899
Descripción Estado de conservación: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Nº de ref. de la librería ABEUSA-66847
Descripción Paperback. Estado de conservación: New. Softcover Book, Condition: New. 2nd Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 1008 Pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Nº de ref. de la librería 731526
Descripción Pearson Education, China, 2004. Hardcover. Estado de conservación: Brand New. 1st Edition. 12mo - over 6¾ - 7¾" tall. International edition Brand New SOFT COVER standard delivery; heavy book. Nº de ref. de la librería 001868
Descripción Orient Blackswan. Estado de conservación: Brand New. This is Brand New, INTERNATIONAL Edition, Paperback, Same Front Cover, Same Contents but Different ISBN, Excellent Quality with Shrink Wrap, English language, Perfect condition. Please contact us for any questions regarding this book.!!. Nº de ref. de la librería MAY-17-1044