The algebraic structures of the integers modules

The thesis is aimed to give the student an understanding of the algebraic structures of groups, rings, fields and integral domains by way of a study of the set of integers modulo n. In particular, it presents the general properties of groups, rings, fields and integral domains, verifies which set o...

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Bibliographic Details
Main Author: Ramirez, Edgardo E.
Format: text
Language:English
Published: Animo Repository 1978
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/15031
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Institution: De La Salle University
Language: English
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Summary:The thesis is aimed to give the student an understanding of the algebraic structures of groups, rings, fields and integral domains by way of a study of the set of integers modulo n. In particular, it presents the general properties of groups, rings, fields and integral domains, verifies which set of integers modulo n will form groups, rings and fields and determines the additional properties for a group of integers modulo n to form a ring, field or an integral domain.