Kyungpook Mathematical Journal
- Volume 18 Issue 1
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- Pages.105-107
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- 1978
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- 1225-6951(pISSN)
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- 0454-8124(eISSN)
PRIMARY IDEALS IN THE RING OF COTINUOUS FUNCTIONS
Abstract
Considering the prime z-filters on a topological space X through the structures of the ring C(X) of continuous functions. a prime z-filter is uniquely determined by a primary z-ideal in the ring C(X), i. e., they have a one-to-one correspondence. Any primary ideal is contained in a unique maximal ideal in C(X). Denoting
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