Definition 2: An algebraic system is a nonempty set s in which at least one or more operations C1…Q1(k≥1),are defined. We denoted by s; Qis, QkI Z;+] ●[Z;+,2 ]is not an algebraic system
• Definition 2: An algebraic system is a nonempty set S in which at least one or more operations Q1 ,…,Qk (k1), are defined. We denoted by [S;Q1 ,…,Qk ]. • [Z;+] • [Z;+,*] • [N;-] is not an algebraic system
Definition 3: Let [S; and T; are two algebraic system with a binary operation. An everywhere function p from s to T is called a homomorphism from S; to T;ifq(a*b)=q(a)●p(b) for va,b∈S
Definition 3: Let [S;*] and [T;•] are two algebraic system with a binary operation. An everywhere function from S to T is called a homomorphism from [S;*] to [T;•] if (a*b)=(a)•(b) for a,bS