000 | 03439nam a22004695i 4500 | ||
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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 |
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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. |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aProblem Books in Mathematics, _x0941-3502 |
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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 |