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Rings of quotients of
Φ-algebras
Donald Glen Johnson |
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Vol. 36 (1971), No. 3, 693–699
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Abstract |
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Let ℋ be a completely regular (Hausdorff) space. Fine, Gillman, and Lambek have studied the (generalized) rings of quotients of C(ℋ) = C(ℋ;R), with particular emphasis on the maximal ring of quotients, Q(ℋ). In this note, we start with a characterization of Q(ℋ) that differs only slightly from one of theirs. This characterization is easily altered to fit more general circumstances, and so serves to obtain some results on non-maximal rings of quotients of C(ℋ), and to generalize these results to the class of Φ-algebras. |
Mathematical Subject Classification
Primary: 46.25
Secondary: 54.00
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Milestones
Received: 13 April 1970
Published: 1 March 1971
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Authors |
| Donald Glen Johnson | |
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