| 청구기호 |
QA76.9.M35 |
| 판사항 |
1st ed. 1997.
|
| 형태사항 |
XII, 171 p. online resource.
|
| 총서명 |
The Springer International Series in Engineering and Computer Science, 0893-3405 ; 390
|
| 언어 |
English |
| 내용 |
I. Introduction and Outline -- 1. The Normal Basis Theorem -- 2. A Strengthening of the Normal Basis Theorem -- 3. Preliminaries on Finite Fields -- 4. A Reduction Theorem -- 5. Particular Extensions of Prime Power Degree -- 6. An Outline -- II. Module Structures in Finite Fields -- 7. On Modules over Principal Ideal Domains -- 8. Cyclic Galois Extensions -- 9. Algorithms for Determining Free Elements -- 10. Cyclotomic Polynomials -- III. Simultaneous Module Structures -- 11. Subgroups Respecting Various Module Structures -- 12. Decompositions Respecting Various Module Structures -- 13. Extensions of Prime Power Degree (1) -- IV. The Existence of Completely Free Elements -- 14. The Two-Field-Problem -- 15. Admissability -- 16. Extendability -- 17. Extensions of Prime Power Degree (2) -- V. A Decomposition Theory -- 18. Suitable Polynomials -- 19. Decompositions of Completely Free Elements -- 20. Regular Extensions -- 21. Enumeration -- VI. Explicit Constructions -- 22. Strongly Regular Extensions -- 23. Exceptional Cases -- 24. Constructions in Regular Extensions -- 25. Product Constructions -- 26. Iterative Constructions -- 27. Polynomial Constructions -- References -- List of Symbols.
|
| 주제 |
Computer science-Mathematics.
Mathematical logic.
Electrical engineering.
Discrete Mathematics in Computer Science. --https://scigraph.springernature.com/ontologies/product-market-codes/I17028
Mathematical Logic and Foundations. --https://scigraph.springernature.com/ontologies/product-market-codes/M24005
Electrical Engineering. --https://scigraph.springernature.com/ontologies/product-market-codes/T24000
|
| 보유판 및 특별호 저록 |
Springer Nature eBook
Printed edition: 9781461378778
Printed edition: 9780792398516
Printed edition: 9781461562702
|
| ISBN |
9781461562696 |
| 기타 표준번호 |
10.1007/978-1-4615-6269-6 |
| QR CODE |
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