Having a closed under composition set in abstract algebra is significant because it means that when two elements in the set are combined using the operation defined, the result will also be an element in the set. This property is important for ensuring that the set forms a mathematical structure that follows the rules of the operation consistently.
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In the context of string operations, being closed under concatenation means that when you combine two strings together, the result is still a valid string. This property is important because it ensures that string operations can be performed without creating invalid or unexpected results.
What is a closed standards in computer network?
Yes, decidable languages are closed under concatenation.
Yes, decidable languages are closed under intersection.
Yes, recognizable languages are closed under concatenation.