Ebook: Methods in Ring Theory

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Content:
Front Matter....Pages i-viii
R-Pr?fer Rings and Approximation Theorems....Pages 1-36
Certain Artinian Lattices Are Noetherian. Applications to the Relative Hopkins-Levitzki Theorem....Pages 37-52
A Generalization of Semisimple Modules....Pages 53-65
Graded Complete and Graded Henselian Rings....Pages 67-80
Cyclic Classes in Relative Brauer Groups....Pages 81-86
Simple Noetherian Non-Matrix Rings....Pages 87-88
Group-Gradings of Categories....Pages 89-110
Brauer Groups of Homogenecus Spaces, I....Pages 111-144
Simple Submodules in a Finite Direct Sum of Uniform Modules....Pages 145-159
Functors of Graded Rings....Pages 161-170
Sur Une Classe d’Algebres Filtrees....Pages 171-179
Some Special Class of Artin Rings of Finite Type....Pages 181-183
Group Rings and Maximal Orders....Pages 185-195
A note on infinite torsion primes of a commutative ring....Pages 197-200
Applications of Kummer Theory without Roots of Unity....Pages 201-205
The Index of Nility of a Matrix Ring over a Ring with Bounded Index....Pages 207-210
On Algebraic Derivations of Prime Rings....Pages 211-229
Smooth Maximal Orders in Quaternion Algebras, I....Pages 231-264
Group Rings and Division Rings....Pages 265-280
On Free Subobjects of Skew Fields....Pages 281-285
Herstein’s Lie and Jordan Theory Revisited....Pages 287-289
Divisorially Graded Orders in a Simple Artinian Ring....Pages 291-315
?-Injective Modules and QF-3 Endomorphism Rings....Pages 317-326
Group Actions on Rings: Some Classical Problems....Pages 327-346
Links between Maximal Ideals in Bounded Noetherian Prime Rings of Krull Dimension One....Pages 347-377
Noetherian Subrings of Quotient Rings....Pages 379-389
Stability Conditions for Commutative Rings with Krull Dimension....Pages 391-402
Cancellative Group-Graded Rings....Pages 403-414
The Automorphism Group of a Polynomial Algebra....Pages 415-432
Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations....Pages 433-449
Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups....Pages 451-454
Self-Injective Dimension of Serial Rings....Pages 455-481
Smooth Affine PI Algebras....Pages 483-488
Questions on Skew Fields....Pages 489-495
Torsion Units in Group Rings....Pages 497-504
On The Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols....Pages 505-516
A Duality Theorem for Hopf Algebras....Pages 517-522
Note on Central Class Groups of Orders over Krull Domains....Pages 523-540
On the Picard Group of a Quasi-Affine Scheme....Pages 541-549
Duality Theory for Quasi-Injective Modules....Pages 551-566
Back Matter....Pages 567-576

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Content:
Front Matter....Pages i-viii
R-Pr?fer Rings and Approximation Theorems....Pages 1-36
Certain Artinian Lattices Are Noetherian. Applications to the Relative Hopkins-Levitzki Theorem....Pages 37-52
A Generalization of Semisimple Modules....Pages 53-65
Graded Complete and Graded Henselian Rings....Pages 67-80
Cyclic Classes in Relative Brauer Groups....Pages 81-86
Simple Noetherian Non-Matrix Rings....Pages 87-88
Group-Gradings of Categories....Pages 89-110
Brauer Groups of Homogenecus Spaces, I....Pages 111-144
Simple Submodules in a Finite Direct Sum of Uniform Modules....Pages 145-159
Functors of Graded Rings....Pages 161-170
Sur Une Classe d’Algebres Filtrees....Pages 171-179
Some Special Class of Artin Rings of Finite Type....Pages 181-183
Group Rings and Maximal Orders....Pages 185-195
A note on infinite torsion primes of a commutative ring....Pages 197-200
Applications of Kummer Theory without Roots of Unity....Pages 201-205
The Index of Nility of a Matrix Ring over a Ring with Bounded Index....Pages 207-210
On Algebraic Derivations of Prime Rings....Pages 211-229
Smooth Maximal Orders in Quaternion Algebras, I....Pages 231-264
Group Rings and Division Rings....Pages 265-280
On Free Subobjects of Skew Fields....Pages 281-285
Herstein’s Lie and Jordan Theory Revisited....Pages 287-289
Divisorially Graded Orders in a Simple Artinian Ring....Pages 291-315
?-Injective Modules and QF-3 Endomorphism Rings....Pages 317-326
Group Actions on Rings: Some Classical Problems....Pages 327-346
Links between Maximal Ideals in Bounded Noetherian Prime Rings of Krull Dimension One....Pages 347-377
Noetherian Subrings of Quotient Rings....Pages 379-389
Stability Conditions for Commutative Rings with Krull Dimension....Pages 391-402
Cancellative Group-Graded Rings....Pages 403-414
The Automorphism Group of a Polynomial Algebra....Pages 415-432
Auslander-Reiten Quivers for Some Artinian Torsion Theories and Integral Representations....Pages 433-449
Automorphisms and Isomorphisms of Integral Group Rings of Finite Groups....Pages 451-454
Self-Injective Dimension of Serial Rings....Pages 455-481
Smooth Affine PI Algebras....Pages 483-488
Questions on Skew Fields....Pages 489-495
Torsion Units in Group Rings....Pages 497-504
On The Length of Decompositions of Central Simple Algebras in Tensor Products of Symbols....Pages 505-516
A Duality Theorem for Hopf Algebras....Pages 517-522
Note on Central Class Groups of Orders over Krull Domains....Pages 523-540
On the Picard Group of a Quasi-Affine Scheme....Pages 541-549
Duality Theory for Quasi-Injective Modules....Pages 551-566
Back Matter....Pages 567-576
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