A non empty set A is termed as an algebraic structure
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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.
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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.
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