Mathematical  Culture and Thought

Mathematical Culture and Thought


‎Albert‎, ‎A‎. ‎A.‎, Modern Higher Algebra‎, ‎The University of Chicago Press‎, ‎Chicago illinois‎, ‎1937‎.
 
‎Albert‎, ‎A‎. ‎A‎,  ‎Hasse‎, ‎H.‎,  ‎A determination of all normal division algebras over an algebraic number field‎, Trans‎. ‎Amer‎. ‎Math‎. ‎Soc.‎, 34 (1932)‎, ‎722-726‎.
 
‎Amitsur‎, ‎S‎. ‎A.‎,  ‎Rings of Quotients and Morita contexts‎, J‎. ‎Algebra‎, 17 (1971)‎, ‎273-298‎.
 
‎Anderson‎, ‎F‎. ‎W.‎, ‎Fuller‎, ‎K‎. ‎R.‎,  Rings and Categories of Modules‎,
‎Graduate Texts in Mathematics‎, 13‎, ‎Springer-Verlag‎, ‎New York‎, ‎Heidelberg‎, ‎1974‎.
 
‎Brauer‎, ‎R.‎,  ‎Hasse‎, ‎H.‎, ‎Noether‎, ‎E.‎,
‎Beweis eines hauptsatzes in der theorie der algebren (in German)‎,
J‎. ‎Reine Angew‎. ‎Math.‎, 167 (1932)‎, ‎399-404‎.
 
‎Cartan‎, ‎H.‎, ‎Eilenberg‎, ‎S.‎,
 Homological Algebra‎, ‎Princeton University Press‎, ‎Princeton‎, ‎1956‎.
 
‎Divinsky‎, ‎N‎. ‎J.‎,  Rings and Radicals‎, ‎University of Toronto Press‎, ‎Toronto‎, ‎Ontario‎, ‎1965‎.
 
‎Faith‎, ‎C.‎,
Algebra‎: ‎Rings‎, ‎Modules and Categories I‎,
 ‎Springer-Verlag‎, ‎New York‎, ‎Heidelberg‎, ‎1973‎.
 
‎Goldie‎, ‎A‎. ‎W.‎, ‎The structure of prime rings under ascending chain conditions‎, Proc‎. ‎London Math‎. ‎Soc.‎,  8 (1958)‎, ‎589-608‎.
 
 ‎Goodearl‎, ‎K‎. ‎R.‎, Ring Theory‎: ‎Nonsingular Rings and Modules‎, ‎Marcel Dekker Inc.‎, ‎New York‎, ‎Basel‎, ‎1976‎.
 
 ‎Goodearl‎, ‎K‎. ‎R.‎, ‎Warfield jr‎, ‎R‎. ‎B.‎,  An Introduction to Noncommutative Noetherian Rings‎, ‎London Mathematical Society Student Texts 16)‎, ‎Cambridge University Press‎, ‎Cambridge‎, ‎1989‎.
 
‎Grey‎, ‎M.‎,   A Radical Approach to Algebra‎, ‎Addison-Wesley‎, ‎Reading‎, ‎Massachusetts‎, ‎1970‎.
 
‎Hart‎, ‎R.‎,  ‎Krull dimension and global dimension of simple Ore-extensions‎,
Math‎. ‎Z.‎, 121 (1971)‎, ‎341-345‎.
 
‎Herstein‎, ‎I‎. ‎N.‎, Noncommutative Rings‎, ‎The Carus Mathematical Monographs  (\15)‎,
 ‎Published by The Mathematical Association of America‎, ‎distributed by John Wiley \& Sons Inc.‎, ‎New York‎, ‎1986‎.
 
‎Jacobson‎, ‎N.‎, Structure of Rings‎, ‎American Mathematical Society Colloquium Publications  (\37)‎,
 ‎Revised edn.‎, ‎American Mathematical Society‎, ‎Providence‎, ‎RI‎, ‎1964‎.
 
 ‎Jategaonkar‎, ‎A‎. ‎V‎.
‎A counter-example in ring theory and homological algebra‎,
J‎. ‎Algebra‎, 12 (1969)‎, ‎418-440‎.
 
‎Karpilovsky‎, ‎G.‎,
Unit Groups of Classical Rings‎,  ‎The Clarendon Press‎, ‎Oxford University Press‎, ‎New York‎, ‎1988‎.
 
‎Kerr‎, ‎J‎. ‎W.‎, ‎An example of a Goldie ring whose matrix ring is not Goldie‎,
J‎. ‎Algebra‎, 61 (1979)‎ , ‎590-592‎.
 
‎Lam‎, ‎T‎. ‎Y.‎, A First Course in Noncommutative Rings‎,  ‎Graduate Texts in Mathematics (131)‎, ‎Springer-Verlag‎, ‎New York‎, ‎1991‎.
 
‎Lam‎, ‎T‎. ‎Y.‎, Lectures on Modules and Rings‎, ‎Graduate Texts in Mathematics (189)‎, ‎Springer-Verlag‎, ‎New York‎, ‎1999‎.
 
Les Lesieur‎, ‎L.‎, ‎Croisot‎, ‎R.‎, ‎Sur les anneaux premiers Notheriens \`{a} gauche‎, Ann‎. ‎Sci‎. ‎Ecol Norm‎. ‎Sup.‎, 76 (1959)‎, ‎215-216‎.
 
‎McConnell‎, ‎J‎. ‎C.‎,  ‎Robson‎, ‎J‎. ‎C.‎, Noncommutative Noetherian Rings‎, ‎With the cooperation of L‎. ‎W‎. ‎Small‎,  ‎John Wiley \& Sons‎, ‎Ltd.‎, ‎Chichester‎, ‎1987‎.
 
‎Morita‎, ‎K.‎,  ‎Duality for modules and its applications to the theory of rings with minimum condition‎,  Sci‎. ‎Rep‎. ‎Tokyo Kyoiku Daigaku Sect‎. ‎A‎,  6 (1958)‎, ‎83-142‎.
 
‎Rentschler‎, ‎R.‎, ‎Gabriel‎, ‎P.‎,  ‎Sur la dimension des anneaux et ensembles ordonnés‎, C‎. ‎R‎. ‎Acad‎. ‎Sci‎. ‎Paris Sér‎. ‎A-B‎, 265 (1967)‎, ‎712-715‎.
 
 ‎Roquette‎, ‎P.‎, The Brauer-Hasse-Noether Theorem in Historical Perspective‎, ‎Springer-Verlag‎, ‎Berlin‎, ‎2005‎.
 
 ‎Rotman‎, ‎J‎. ‎J.‎,  An Introduction to Homological Algebra‎,  ‎Academic Press‎, ‎New York‎, ‎London‎, ‎1979‎.
 
‎Rowen‎, ‎L‎. ‎H.‎, Ring Theory‎, ‎Vols‎ . ‎I \& II‎, ‎Academic Press‎, ‎Inc.‎, ‎Boston‎, ‎1988‎.
 
‎Stenstrom‎, ‎B.‎,  Rings of Quotients‎, ‎Springer-Verlag‎, ‎Berlin‎, ‎Heidelberg‎, ‎New York‎, ‎1975‎.
 
‎Van der Waerden‎, ‎B‎. ‎L.‎, Modern Algebra‎, ‎Vols‎. ‎I \& II‎,
 ‎Translated from German 1931‎, ‎Frederick Ungar Publishing Co.‎, ‎New York‎, ‎1949‎.
 
‎Vasconcelos‎, ‎W‎. ‎V.‎, The Rings of Dimension Two‎, ‎Lecture Notes in Pure and Applied Mathematics  (22)‎, ‎Marcel Dekker‎, ‎Inc.‎, ‎New Yor‎, ‎Basel,