Let C[0, 1] be the set of all continuous functions defined in the interval [0, 1]. If pointwise addition (+) and multiplication (·) are defined on this set, then C[0, 1] is:

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Mathematics · Abstract Algebra

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a ring but not an integral domain

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Let C[0, 1] be the set of all continuous functions defined in the interval [0, 1]. If pointwise addition (+) and multiplication (&middot;) are defined on this set, then C[0, 1] is: