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Answer to Question #70741 in Abstract Algebra for Pkm
Question #70741
The set of discontinuous functions from [1,0] to R form a ring with respect to pointwise addition and multiplication. Is this statement true or false, justify your answer.
Expert's answer
This statement is false.
Let A be a ring of discontinuous functions. Then 0 є A, but for functions 0 one gets f(x)=0, which not discontinuous.
Let A be a ring of discontinuous functions. Then 0 є A, but for functions 0 one gets f(x)=0, which not discontinuous.
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