Question

A non empty set A is termed as an algebraic structure

Answer 1

Answer:

A non empty set A is called an algebraic structure w.r.t binary operation “*” if (a*b) belongs to S for all (a*b) belongs to S. Therefore “*” is closure operation on 'A'. ... (Matrix,*) and (Set of integers,+) are examples of semigroup.

Answer 2

Answer:

A non-empty set A is termed as an algebraic structure with respect to  binary operation '*' If (a*b) belongs to S for all (a*b)  belongs to S.

Step-by-step explanation:

A non-empty set A is termed an algebraic structure with respect to binary operation.

An algebraic structure has a non-empty set A, a collection of operations on A of finite arity, and a finite set of identities.