a) If the following statement is valid, prove it if it does not state the reason why it does not apply. Let (M, +, ⋅) be a circuit and a∈M. then the set Ia = {x⋅a; x∈M} with respect to the operation ⋅ is the ideal of the circuit M. b) Find the non-trivial zero subcircle, if any, of the circuit (Z25, +, ⋅). Justify your claim. (edited)
[8:45 AM]
Mohib uloha 4) We have two circuits (Z6, +, ⋅), (Z12, +, ⋅). Find out which of the views hi: Z12 → Z6, i = 1,2 is the homomorphism of the circuits and then find its kernel if h1 (x) = 2xmod (6) h2 (x) = xmod (6)