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Ring Theory, 83
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers:**"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of nonexperts, mathematicians whose speciality is not ring theory, will find Ring Theory ideally suited to their needs....They, as well as students, will be well served by the many examples of rings and the glossary of major results."**--NOTICES OF THE AMS
The Rhyme and Reason of Politics in Early Modern Europe
Herbert Rowen has always insisted that historians don't need biographers. Outside "a small circle of family, friends and students," what matters most is not the individual but his or her work.' Thus the main purpose of the present volume is to highlight Professor Rowen's contributions to the political history of early modem Europe. Part I includes assessment of his work by others, while Parts ll-V contain examples of his best articles, papers, and reviews, some published here for the first time, most previously hard-to-get. These essays not only add substantively to our understanding of early modem politics, but treat both implicitly and explicitly the historian's task per se. Hence, this is not biography, much less "innocuous laudation" or hagiography, which Herb would not forgive. Yet it is only fitting that someone who lays so much stress on the human side of History should by way of introduction have something said about his person as well as his work.
Ring Theory V2
Ring Theory V2
Graduate Algebra: Noncommutative View
This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties. Major topics include the theory of modules over a principal ideal domain, and its applications to matrix theory (including the Jordan decomposition), the Galois theory of field extensions, transcendence degree, the prime spectrum of an algebra, localization, and the classical theory of Noetherian and Artinia...
Ring Theory V1
Ring Theory V1
Amitsur Centennial Symposium
This volume contains the proceedings of the Amitsur Centennial Symposium, held from November 1–4, 2021, virtually and at the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. Shimshon Amitsur was a pioneer in several branches of algebra, the leading algebraist in Israel for several decades who contributed major theorems, inspiring results, useful observations, and enlightening tricks to many areas of the field. The fifteen papers included in the volume represent the broad impact of Amitsur's work on such areas as the theory of finite simple groups, algebraic groups, PI-algebras and growth of rings, quadratic forms and division algebras, torsors and Severi-Brauer surfaces, Hopf algebras and braces, invariants, automorphisms and derivations.
Ring Theory
None
Graduate Algebra: Commutative View
This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties. Major topics include the theory of modules over a principal ideal domain, and its applications to matrix theory (including the Jordan decomposition), the Galois theory of field extensions, transcendence degree, the prime spectrum of an algebra, localization, and the classical theory of Noetherian and Artinia...
Ring Theory
None
Polynomial Identities in Ring Theory
Polynomial Identities in Ring Theory
