000 03439nam a22004695i 4500
001 978-0-387-48899-8
003 DE-He213
005 20161121231122.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387488998
_9978-0-387-48899-8
024 7 _a10.1007/978-0-387-48899-8
_2doi
050 4 _aQA150-272
072 7 _aPBF
_2bicssc
072 7 _aMAT002000
_2bisacsh
082 0 4 _a512
_223
100 1 _aLam, T. Y.
_eauthor.
245 1 0 _aExercises in Modules and Rings
_h[electronic resource] /
_cby T. Y. Lam.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXVIII, 414 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProblem Books in Mathematics,
_x0941-3502
505 0 _aFree Modules, Projective, and Injective Modules -- Flat Modules and Homological Dimensions -- More Theory of Modules -- Rings of Quotients -- More Rings of Quotients -- Frobenius and Quasi-Frobenius Rings -- Matrix Rings, Categories of Modules and Morita Theory.
520 _aFor the Backcover This Problem Book offers a compendium of 639 exercises of varying degrees of difficulty in the subject of modules and rings at the graduate level. The material covered includes projective, injective, and flat modules, homological and uniform dimensions, noncommutative localizations and Goldie’s theorems, maximal rings of quotients, Frobenius and quasi-Frobenius rings, as well as Morita’s classical theory of category dualities and equivalences. Each of the nineteen sections begins with an introduction giving the general background and the theoretical basis for the problems that follow. All exercises are solved in full detail; many are accompanied by pertinent historical and bibliographical information, or a commentary on possible improvements, generalizations, and latent connections to other problems. This volume is designed as a problem book for the author’s Lectures on Modules and Rings (Springer GTM, Vol. 189), from which the majority of the exercises were taken. Some forty new exercises have been added to further broaden the coverage. As a result, this book is ideal both as a companion volume to Lectures, and as a source for independent study. For students and researchers alike, this book will also serve as a handy reference for a copious amount of information in algebra and ring theory otherwise unavailable from textbooks. An outgrowth of the author’s lecture courses and seminars over the years at the University of California at Berkeley, this book and its predecessor Exercises in Classical Ring Theory (Springer, 2003) offer to the mathematics community the fullest and most comprehensive reference to date for problem solving in the theory of modules and rings.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aAssociative rings.
650 0 _aRings (Algebra).
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
650 2 4 _aAssociative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387988504
830 0 _aProblem Books in Mathematics,
_x0941-3502
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-48899-8
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508879
_d508879