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What is Group of Integers Modulo n about?
The document discusses the concept of integers modulo n, defining equivalence relations and congruence classes. It establishes that congruence modulo n is an equivalence relation on integers and outlines the arithmetic operations on the set of integers modulo n, ℤn, which forms an abelian group under addition. Additionally, it explains the conditions under which elements in ℤn have multiplicative inverses and the implications of n being a prime number.
- Author
- sam1million99
- Language
- EN