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A study about algebraic number theory and lattices

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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