Sökning: "Galois ring"

Hittade 3 uppsatser innehållade orden Galois ring.

1. 1. The Abel-Ruffini Theorem : The insolvability of the general quintic equation by radicals

   Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik

   Författare :Axel Sjöblom; [2024]
   Nyckelord :;

   Sammanfattning : This thesis explores the topic of Galois theory at a relatively introductory level with the goal of proving the Abel Ruffini theorem. In the first part algebraic structures are considered: groups, ring, fields, etc. Following this, polynomial rings are introduced and the attention is then turned to finite field-extensions. LÄS MER

3. 2. Galois Theory of Commutative Ring Spectra

   Master-uppsats, KTH/Matematik (Avd.)

   Författare :Alice Hedenlund; [2016]
   Nyckelord :;

   Sammanfattning : This thesis discusses Galois theory of ring spectra in the sense of John Rognes. The aim is to give a clear introduction that provides a solid foundation for further studies into the subject. We introduce ring spectra using the symmetric spectra of Hovey, Shipley and Smith, and discuss the symmetric monoidal model structure on this category. LÄS MER

4. 3. Architectures for Multiplication in Galois Rings

   Uppsats för yrkesexamina på grundnivå, Institutionen för systemteknik

   Författare :Björn Abrahamsson; [2004]
   Nyckelord :Datorteknik; Galois ring; VLSI multiplication; Quaternary codes; Normal basis; Dual basis; Datorteknik;

   Sammanfattning : This thesis investigates architectures for multiplying elements in Galois rings of the size 4^m, where m is an integer. The main question is whether known architectures for multiplying in Galois fields can be used for Galois rings also, with small modifications, and the answer to that question is that they can. LÄS MER