000			01739nam a22002537a 4500
999			_c54763 _d54763
008			210321b ||||| |||| 00| 0 eng d
020			_a9780521632744
082			_a512.4 _bBER
100			_aBerrick, A. J.
245			_aIntroduction to rings and modules: with K-theory in view
260			_aCambridge: _bCambridge University Press, _c2000.
300			_axv, 265 p. ; _bhb. ; _c23 cm.
365			_aGBP _b79.99
440			_aCambridge studies in advanced mathematics 65.
504			_aThe book contains refrences and index.
520			_aThis book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory.
650			_aModules (Algebra)
650			_aRings (Algebra)
650			_aAlgebra
650			_aMathematics
650			_aHomomorphisms
700			_aKeating, M. E.
942			_cTD