x)∗f(y) • f(x′) = (f(x))′′ (a) Prove f(0) = 0∗ (b) Give an example of a homomorphism from P({1,2,3}) to P({1,2}). (It will not be an isomorphism—why?
x)∗f(y) • f(x′) = (f(x))′′ (a) Prove f(0) = 0∗ (b) Give an example of a homomorphism from P({1,2,3}) to P({1,2}). (It will not be an isomorphism—why?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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A function from Boolean algebra B to Boolean algebra B∗ is a homomorphism if it satisfies the definition of isomorphism, but is not necessarily a bijection.
f(x+y)=f(x)&f(y) • f(x·y)=f(x)∗f(y) • f(x′) = (f(x))′′ (a) Prove f(0) = 0∗ (b) Give an example of a homomorphism from P({1,2,3}) to P({1,2}). (It will not be an isomorphism—why?)
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