bachelorThesis
Fatoracão e divisibilidade em anéis comutativos
Date
2017-12-05Registration in:
PERUZZO, Jefferson. Fatoracão e divisibilidade em anéis comutativos. 2017. Trabalho de Conclusão de Curso (Licenciatura em Matemática) – Universidade Tecnológica Federal do Paraná, Toledo, 2017.
Author
Peruzzo, Jefferson
Institutions
Abstract
This paper is a short study about factorization and divisibility in commutative rings. Many definitions related to rings, ideals and their relation to factorization are given in the text. Among them, the concept of unique factorization domains is introduced, as well as some results related to them, and the fact that the integers are a particular case of this algebraic structure. Also, some general results about factorization in the ring of polynomials in one indeterminate over a ring R are presented.
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