1. Define on Z by a b if a|b. Is (A,) a poset? 2. Let A = {1, 2, 3} and f P(A) → Z, f(X) = n(X). Find the domain and the range of f. Is f 11 and/or onto?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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1. Define on Z by a b if a|b. Is (A,) a poset?
2. Let A = {1, 2, 3} and f P(A) → Z, f(X) = n(X). Find the domain and the range of
f. Is f 11 and/or onto?
Transcribed Image Text:1. Define on Z by a b if a|b. Is (A,) a poset? 2. Let A = {1, 2, 3} and f P(A) → Z, f(X) = n(X). Find the domain and the range of f. Is f 11 and/or onto?
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