Abstract Algebra
posted by Molly .
Let f:A>B where A and B are nonempty. Prove that f(S1 U S2) = f(S1) U f(S2)
Respond to this Question
Similar Questions

Abstract Algebra
Let H={a+bi a,b is a element R, a^2+b^2=1} be a subset of the non zero complex numbers C*. Prove that H<C* under complex multiplication using the onestep subgroup test. Also describe the elements of H geometrically. 
Abstract algebra
Prove that the cancellation law of multiplication is equivalent in a commutative ring to the assertion that the product of nonzero factors is not zero 
math
Let f:A>B, where A and B are nonempty, and let T1 and T2 be subsets of B. a.Prove that f^1(T1 U T2)= f^1(T1) U f^1(T2). b.Prove that f^1(T1 intersects T2) = f^1(T1) intersects f^1(T2). I think once I see a I can do b. c. … 
Modern (Abstract) Algebra
Let f:A>B, where A and B are nonempty Prove that f(S1  f(S2) is a proper subset of f(S1 S2) fo all subsets S1 and S2 of A. Give an example where there are subsets S1 and S2 of A such that f(S1)  f(S2) does not equal f(S1S2) 
Modern (Abstract) Algebra
Let f:A>B, where A and B are nonempty Prove that f(S1  f(S2) is a proper subset of f(S1 S2) fo all subsets S1 and S2 of A. Give an example where there are subsets S1 and S2 of A such that f(S1)  f(S2) does not equal f(S1S2) 
Abstract Algebra
Let ø: G> G' be a homomorphism from the group G to the group G'. Prove that ø(a)= ø(b) if and only if ab^1 exists in Ker(ø). 
College Abstract Algebra
If H is a subgroup of G and K is a normal subgroup of G,prove that HK = KH 
social studies
With respect to dealing with abstract concepts, which statement is most accurate? 
CHEM ABSTRACT
I need to write an abstract for my chemistry lab for identifying an unknown acid, is there a generic list of what to do for an abstract? 
Abstract algebra
Prove that a group with prime order p is cyclic. Don't know how to start.