|
|
Sold Out
Book Categories |
Preface vii
List of Symbols xvii
1 Preliminaries 1
1.1 Background Sketch 1
1.2 Semiperfect Rings and Perfect Rings 17
1.3 Frobenius Algebras, and Nakayama Permutations and Nakayama Automorphisms of QF-Rings 27
1.4 Notation in Matrix Representations of Rings 31
2 A Theorem of Fuller 35
2.1 Improved Versions of Fuller's Theorem 36
2.2 M-Simple-Injective and Quasi-Simple-Injective Modules 49
2.3 Simple-Injectivity and the Condition ar[e, g, f] 52
2.4 ACC on Right Annihilator Ideals and the Condition ar[e, g, f] 60
2.5 Injectivity and Composition Length 63
3 Harada Rings 69
3.1 Definition of Harada Rings 69
3.2 A Dual Property of Harada Rings 83
3.3 The Relationships between Harada Rings and Co-Harada Rings 100
4. The Structure Theory of Left Harada Rings 107
4.1 Left Harada Rings of Types (#) and (*) 107
4.2 A Construction of Left Harada Rings as Upper Staircase Factor Kings of Block Extensions of QF-Rings 108
4.3 The Representation of Left Harada Rings as Upper Staircase Factor Rings of Block Extensions of QF-Rings 115
5 Self-Duality of Left Harada Rings 139
5.1 Nakayama Isomorphisms, Weakly Symmetric Left H-Rings and Almost Self-Duality 140
5.2 Self-Duality and Almost Self-Duality of Left Harada Rings 142
5.3 Koike's Example of a QF-Ring without a Nakayama Automorphism 150
5.4 Factor Rings of QF-Rings with a Nakayama Automorphism 153
6 Skew Matrix Rings 157
6.1 Definition of a Skew Matrix Ring 157
6.2 Nakayama Permutations vs Given Permutations 163
6.3 QF-Rings with a Cyclic Nakayama Permutation 171
6.4 Strongly QF-Rings 183
6.5 Block Extensions of Skew Matrix Rings 187
7 The Structure of Nakayama Rings191
7.1 Kupisch Series and Kupisch Well-Indexed Set via Left H-Rings 192
7.2 Nakayama QF-Rings 201
7.3 A Classification of Nakayama Rings 203
7.4 An Example of a Nakayama QF-Ring of KNP(1 ? 1)-Type 229
7.5 The Self-Duality of Nakayama Rings 232
8 Modules over Nakayama Rings 235
8.1 Characterizations of Nakayama Rings by Lifting and Extending Properties 235
9 Nakayama Algebras 243
9.1 Nakayama Algebras over Algebraically Closed Fields 243
9.2 Nakayama Group Algebras 250
10 Local QF-rings 261
10.1 Local QF-rings 261
10.2 Examples of Local QF-Rings with Radical Cubed Zero 270
Open Questions 275
Bibliography 277
Index 287
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Blly Smith
reviewed Classical Artinian Rings and Related Topics on January 11, 2015
Classical Artinian Rings and Related Topics
Good. Textbook was swapped out for James Stewart's Precalculus.
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish List
X
This item is in your Collection
Classical Artinian Rings and Related Topics
X
This Item is in Your Inventory
Classical Artinian Rings and Related Topics
X
You must be logged in to review the productsX
X
X
Add Classical Artinian Rings and Related Topics, Quasi-Frobenius rings and Nakayama rings were introduced by T. Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate rings theorists with their abundance of properties and structural depth. In 1978, M. Harada introduced , Classical Artinian Rings and Related Topics to the inventory that you are selling on WonderClubX
X
Add Classical Artinian Rings and Related Topics, Quasi-Frobenius rings and Nakayama rings were introduced by T. Nakayama in 1939. Since then, these classical artinian rings have continued to fascinate rings theorists with their abundance of properties and structural depth. In 1978, M. Harada introduced , Classical Artinian Rings and Related Topics to your collection on WonderClub |
