Our math Teacher asked us to find how many equivalence relations are there in a set of 4 elements, the set given is A={a,b,c,d} I found the solution to this problem there are 15 different ways to find an equivalence relation, but solving the problem, i looked in Internet that the number of...
But I have a new question, how to prove that -0=0 with the field axioms? how would you prove that? please help me out of this, i looked this exercise in the book calculus of apostol first chapter perhaps it does ring a bell.
Possibility of division: Given a and b with not equal to cero, there is exactly one x such that a.x=b. This x is denoted by b/a and is called the quotient of b and a. In particular, 1/a is also written a^-1 and is calle the reciprocal of a.
My english is bad but i will try to do the proof in...