A First Course in Module Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Course in Module Theory write by M. E. Keating. This book was released on 1998-01-01. A First Course in Module Theory available in PDF, EPUB and Kindle. An introduction to module theory for students with some knowledge of linear algebra and elementary ring theory. Expounds the basics of module theory, including methods of comparing, constructing and decomposing modules, then presents the structure theory of modules over Euclidean domains. Concluding chapters look at two standard forms for a square matrix, and projective modules over rings in general. Annotation copyrighted by Book News, Inc., Portland, OR
Algebra
Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra write by William A. Adkins. This book was released on 1992. Algebra available in PDF, EPUB and Kindle. First year graduate algebra text. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. Beginning with standard topics in group and ring theory, the authors then develop basic module theory and its use in investigating bilinear, sesquilinear, and quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
A Course in Ring Theory
A Course in Ring Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course in Ring Theory write by Donald S. Passman. This book was released on 2004-09-28. A Course in Ring Theory available in PDF, EPUB and Kindle. 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
A First Course In Module Theory
A First Course In Module Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Course In Module Theory write by Mike E Keating. This book was released on 1998-07-31. A First Course In Module Theory available in PDF, EPUB and Kindle. This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality, so that some further topics can be discussed, including projective modules and the connection between modules and representations of groups.The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory. The further topics point the way to some projects that might be attempted in conjunction with a taught course.
Lectures on Modules and Rings
Lectures on Modules and Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Modules and Rings write by Tsit-Yuen Lam. This book was released on 2012-12-06. Lectures on Modules and Rings available in PDF, EPUB and Kindle. This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
