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140122 ||| eng |
| 020 |
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|a 9789400905979
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| 100 |
1 |
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|a Karpilovsky, Gregory
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| 245 |
0 |
0 |
|a Symmetric and G-algebras
|h Elektronische Ressource
|b With Applications to Group Representations
|c by Gregory Karpilovsky
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| 250 |
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|a 1st ed. 1990
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 1990, 1990
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| 300 |
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|a 384 p
|b online resource
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| 505 |
0 |
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|a 1. Preliminaries -- 1. Notation and terminology -- 2. Artinian, noetherian and semisimple modules -- 3. Semisimple modules -- 4. The radical and socle of modules and rings -- 5. The Krull-Schmidt theorem -- 6. Matrix rings -- 7. The Wedderburn-Artin theorem -- 8. Tensor products -- 9. Croup algebras -- 2. Frobenius and symmetric algebras -- 1. Definitions and elementary properties -- 2. Frobenius crossed products -- 3. Symmetric crossed products -- 4. Symmetric endomorphism algebras -- 5. Projective covers and injective hulls -- 6. Classical results -- 7. Frobenius uniserial algebras -- 8. Characterizations of Frobenius algebras -- 9. Characters of symmetric algebras -- 10. Applications to projective modular representations -- 11. Külshammer’s theorems -- 12. Applications -- 3. Symmetric local algebras -- 1. Symmetric local algebras A with dimFZ(A) ? 4 -- 2. Some technical lemmas -- 3. Symmetric local algebras A with dimFZ(A) = 5 -- 4. Applications to modular representations -- 4. G-algebras and their applications -- 1. The trace map -- 2. Permutation G-algebras -- 3. Algebras over complete noetherian local rings -- 4. Defect groups in G-algebras -- 5. Relative projective and injective modules -- 6. Vertices as defect groups -- 7. The G-algebra EndR((1H)G) -- 8. An application: The Robinson’s theorem -- 9. The Brauer morphism -- 10. Points and pointed groups -- 11. Interior G-algebras -- 12. Bilinear forms on G-algebras
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| 653 |
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|a Group Theory and Generalizations
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| 653 |
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|a Associative algebras
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| 653 |
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|a Group theory
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| 653 |
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|a Algebra
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| 653 |
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|a Associative rings
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| 653 |
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|a Associative Rings and Algebras
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Mathematics and Its Applications
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| 028 |
5 |
0 |
|a 10.1007/978-94-009-0597-9
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| 856 |
4 |
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|u https://doi.org/10.1007/978-94-009-0597-9?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 512
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