An algebraic structure _________ is called a semigroup.ans.
Question
An algebraic structure _________ is called a semigroup.ans.
Solution
An algebraic structure is called a semigroup if it satisfies the following two conditions:
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Closure: The operation is closed. This means that if you take any two elements in the set and perform the operation, the result will still be in the set.
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Associativity: The operation is associative. This means that for any three elements a, b, and c in the set, the equation (a * b) * c = a * (b * c) holds true.
Here, "*" represents the binary operation of the semigroup.
Please note that a semigroup does not require the existence of an identity element or the existence of inverse elements, which distinguishes it from other algebraic structures like groups.
Similar Questions
Condition of semigroup homomorphism should be ____________ans.
A semigroup can have:a.One or more than one identity elementsb.Exactly one identity elementc.Exactly two identity elementsd.No identity element
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Condition of semigroup homomorphism should be
Condition of semigroup homomorphism should be ____________ans.f(x) * f(y) = f(y)f(x * x) = f(x * y)f(x * y) = f(x) * f(y)f(x) = f(y) Previous Marked for Review Next
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