A Course in Ring Theory
Author | : Donald S. Passman |
Publisher | : American Mathematical Soc. |
Total Pages | : 324 |
Release | : 2004-09-28 |
ISBN-10 | : 0821869388 |
ISBN-13 | : 9780821869383 |
Rating | : 4/5 (383 Downloads) |
Download or read book A Course in Ring Theory written by Donald S. Passman and published by American Mathematical Soc.. This book was released on 2004-09-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projective modules: Modules and homomorphisms Projective modules Completely reducible modules Wedderburn rings Artinian rings Hereditary rings Dedekind domains Projective dimension Tensor products Local rings Polynomial rings: Skew polynomial rings Grothendieck groups Graded rings and modules Induced modules Syzygy theorem Patching theorem Serre conjecture Big projectives Generic flatness Nullstellensatz Injective modules: Injective modules Injective dimension Essential extensions Maximal ring of quotients Classical ring of quotients Goldie rings Uniform dimension Uniform injective modules Reduced rank Index