اٍلى الإخوة المشرفون على هذا المنتدى جزاكم الله بكل خير
P. K. Draxl : Skew fields
A. Albert : Structure of algebras
N. Bourbaki : Modules et anneaux semi-simples
Skew Fields Theory of General Division Rings (Encyclopedia of Mathematics and its Applications) (Hardcover) by P. M. Cohn
Editorial Reviews Review From reviews of the hardback: '... the first book on this theme and will be the basis of any future development in this field.' J. Schoissengeier, Monatshefte für Mathematik
From reviews of the hardback: 'While the material is quite technical, the book is very readable.' Mathematika
From reviews of the hardback: '... an up-to-date account.' European Mathematical Society Newsletter
From reviews of the hardback: 'This is a tremendous piece of work, whose importance will grow for many years.' Bulletin of the London Mathematic Society
Product Description Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts. Most existing accounts have been confined to division algebras, i.e. skew fields that are finite dimensional over their center. This work offers the first comprehensive account of skew fields. It is based on the author's LMS Lecture Note Volume "Skew Field Constructions". The axiomatic foundation and a precise description of the embedding problem precedes an account of algebraic and topological construction methods. The author presents his general embedding theory with full proofs, leading to the construction of skew fields. The author has simplified his treatment of equations over skew fields and has extended it by the use of matrix methods. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form. Notes and comments at the end of chapters provide historical background. The book will appeal to researchers in algebra, logic, and algebraic geometry, as well as graduate students in these fields.
اٍلى الإخوة المشرفون على هذا المنتدى جزاكم الله بكل خير اعينوني من أجلها P. K. Draxl : Skew fields A. Albert : Structure of algebras N. Bourbaki : Modules et anneaux semi-simples
Structure of Finite Algebras (Contemporary Mathematics) (Paperback) by David Charles Hobby (Author), Ralph McKenzie Editorial Reviews Book Description The utility of congruence lattices in revealing the structure of general algebras has been recognized since Garrett Birkhoff's pioneering work in the 1930s and 1940s. However, the results presented in this book are of very recent origin: most of them were developed in 1983. The main discovery presented here is that the lattice of congruences of a finite algebra is deeply connected to the structure of that algebra. The theory reveals a sharp division of locally finite varieties of algebras into six interesting new families, each of which is characterized by the behavior of congruences in the algebras. The authors use the theory to derive many new results that will be of interest not only to universal algebraists, but to other algebraists as well. The authors begin with a straightforward and complete development of basic tame congruence theory, a topic that offers great promise for a wide variety of investigations. They then move beyond the consideration of individual algebras to a study of locally finite varieties. A list of open problems closes the work.
Product Details
Paperback: 203 pages Publisher: Amer Mathematical Society (August 1988) Language: English ISBN-10: 0821850733 ISBN-13: 978-0821850732 Product Dimensions: 10.2 x 7.2 x 0.8 inches Shipping Weight: 12.8 ounces او من هنا
اٍلى الإخوة المشرفون على هذا المنتدى جزاكم الله بكل خير P. K. Draxl : Skew fields A. Albert : Structure of algebras N. Bourbaki : Modules et anneaux semi-simples
Eléments de Mathématique. Groupes et algèbres de Lie: Chapitres 7 et 8 [French]
by N. Bourbaki
password:3540339396 ................................................................................. Groupes et algèbres de Lie: Chapitre 1 [French]
by N. Bourbaki
password:3540353356 ................................................................................. Groupes et algèbres de Lie: Chapitre 9 - Groupes de Lie réels compacts [French]
by N. Bourbaki
Elements of Mathematics: Lie Groups and Lie Algebras: Chapters 7-9 (Elements of Mathematics)
by Nicolas Bourbaki
.......................................................................................................... Elements of Mathematics : Algebra II: Chapters 4-7 (Elements of Mathematics) [English]
by Nicolas Bourbaki
............................................................................................................ Elements of Mathematics: Algebra I Chapters 1-3 [English]
by Nicolas Bourbaki
Algèbre commutative: Chapitres 8 et 9 [French]
by N. Bourbaki
password: 3540339426 ........................................................................ Classification des Groupes Algébriques Semi-simples: The Classification of Semi-simple Algebraic Groups (Collected Works of Claude Chevalley) [French]
by Claude Chevalley, P. Cartier, A. Grothendieck, M. Lazard
Eléments de Mathématique. Groupes et algèbres de Lie: Chapitres 2 et 3 [French]
by N. Bourbaki
password:354033940X ........................................................................... Groupes et algèbres de Lie: Chapitres 4, 5 et 6 [French]
by N. Bourbaki
اخي الفاضل عبدالجبار لشكري اريد مجموعة الكتب المتوفرة للمؤلف N. Bourbaki وخاصة ما هو منها باللغة الإنجليزية أذكر منها 1- Theory of sets 2- General topology 3- Functions of real variables 4- Integration 5- Lie Groups and Lie Algebra 6- Commutative Algebra
