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1.

図書
図書
1. Rings, modules and algebras
by Iain T. Adamson
出版情報: Edinburgh : Oliver & Boyd, 1971  311 p ; 22 cm
2.

図書
図書
2. Topics in ring theory (: clothbound ; : pbk)
Jacob Barshay
出版情報: New York : W. A. Benjamin, 1969  145 p. ; 24 cm
シリーズ名: Mathematics lecture note series
3.

図書
図書
3. Ring theory (v. 1 ; v. 2)
Louis H. Rowen
出版情報: Boston ; Tokyo : Academic Press, c1988  2 v. ; 24 cm
シリーズ名: Pure and applied mathematics ; 127-128
目次情報: 続きを見る
Introduction: An Overview of Ring Theory
Table of Principal Notation
General Fundamentals
Construction of Rings
Basic Structure Theory
Rings of Fractions and Embedding Theorems
Categorical Aspects of Module Theory
Homology and Cohomology
Rings with Polynomial Identities and Affine Algebras
Central Simple Algebras
Rings from Representation Theory
Dimensions for Modules and Rings
Major Theorems and Counterexamples for Volume II
References
Index of References According to Section
Cumulative Subject Index for Volumes I and II
Index
Introduction: An Overview of Ring Theory
Table of Principal Notation
General Fundamentals
4.

図書
図書
4. Maximal orders
I. Reiner
出版情報: London ; New York : Academic Press, 1975  xii, 395 p. ; 24 cm
シリーズ名: L.M.S. monographs ; 5
目次情報: 続きを見る
Foreword
Preface
Acknowledgements
Permanent notation
Algebraic preliminaries / 1：
Integral closure
Homological algebra / 2：
Localization / 3：
Dedekind domains / 4：
Completions and valuations / 5：
Radicals of rings / 6：
Semisimple rings and simple algebras / 7：
Orders
Definitions and examples / 8：
Reduced norms and traces / 9：
Existence of maximal orders; discriminants / 10：
Localization of orders / 11：
Maximal orders in skewfields (local case)
Uniqueness of maximal orders / 12：
Ramification index; inertial degree / 13：
Finite residue class field case / 14：
Morita equivalence
Progenerators / 15：
Morita correspondence / 16：
Maximal orders over discrete valuation rings
Maximal orders (complete local case) / 17：
Maximal orders (local case) / 18：
Ideals / 19：
Different, discriminant / 20：
Maximal orders over Dedekind domains
Basic results / 21：
Ideal theory / 22：
Alternate approach to global ideal theory / 23：
Norms of ideals / 24：
Ideal classes; Jordan-Zassenhaus theorem / 25：
Genus / 27：
Crossed-product algebras
Brauer groups / 28：
Cyclic algebras / 29：
Cyclic algebras over local fields / 31：
Simple algebras over global fields
Splitting of simple algebras / 32：
Reduced norms / 33：
Eichler's Theorem / 34：
Ideal class groups / 35：
K[subscript 0] of maximal orders / 36：
Picard groups / 37：
Non-maximal orders / 38：
Hereditary orders
Local theory of hereditary orders / 39：
Global theory of hereditary orders / 40：
Group rings / 41：
References
Index
Foreword
Preface
Acknowledgements
5.

図書
図書
5. Rings of differential operators
J.-E. Björk
出版情報: Amsterdam : North-Holland. , New York : sole distributors for the U.S.A. and Canada, Elsevier North-Holland., 1979  xvii, 374 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 21
6.

図書
図書
6. An introduction to rings and modules : with K-theory in view (: hard)
A.J. Berrick & M.E. Keating
出版情報: Cambridge : Cambridge University Press, 2000  xv, 265 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; v. 65
目次情報: 続きを見る
Basics / 1：
Direct sums and their short exact sequences / 2：
Noetherian rings and polynomial rings / 3：
Artinian rings and modules / 4：
Dedekind domains / 5：
Modules over Dedekind domains / 6：
Basics / 1：
Direct sums and their short exact sequences / 2：
Noetherian rings and polynomial rings / 3：
7.

図書
図書
7. Distributive modules and related topics
Askar Tuganbaev
出版情報: Australia : Gordon & Breach, c1999  xv, 258 p. ; 24cm
シリーズ名: Algebra, logic and applications series ; v. 12
目次情報: 続きを見る
Projective and Injective Modules / 1：
Bezout and Regular Modules / 2：
Continuous and Finite-Dimensional Modules / 3：
Classical Localizations / 4：
Flat Modules and Semiperfect Rings / 5：
Semihereditary Rings / 6：
Endomorphism Rings and Distributivity / 7：
Q max (A) and Nonsingular Rings / 8：
Polynomials, Series and Quaternions / 9：
Semidistributive Rings and Modules / 10：
Distributive Group and Monoid Rings / 11：
Rings Related to Commutative Rings
Self-injective and Skew-injective Rings / 12：
Projective and Injective Modules / 1：
Bezout and Regular Modules / 2：
Continuous and Finite-Dimensional Modules / 3：
8.

図書
図書
8. Lectures on modules and rings
T.Y. Lam
出版情報: New York : Springer, c1999  xxi, 557 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 189
9.

図書
図書
9. Rings with polynomial identities
Claudio Procesi
出版情報: New York : M. Dekker, 1973  viii, 190 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 17
10.

図書
図書
10. Localization and sheaves : a relative point of view
Pascual Jara, Alain Verschoren and Conchi Vidala
出版情報: Harlow : Longman, 1995  235 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 339
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