Algebraic construction of lattices via Minkowski's homomorphism
Construction of lattices and applications in Information Theory
| Grant number: | 21/11311-3 |
| Support type: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | January 01, 2022 |
| Effective date (End): | December 31, 2022 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal researcher: | Robson Ricardo de Araujo |
| Grantee: | Samantha Pedroso |
| Home Institution: | Instituto Federal de Educação, Ciência e Tecnologia de São Paulo (IFSP). Campus Cubatão. Cubatão , SP, Brazil |
Abstract This work is a study, at the undergraduate level, about basic aspects of algebraic number theory and its connections with lattice theory, including approaches to integral and algebraic elements, number fields, rings of integers, cyclotomic fields, Minkowski embedding, algebraic lattices, decomposition of ideals, among others. (AU) | |
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