Images and Open Subspaces of SV Spaces

REFERENCES

• Comfort , W. W. , Hindman , N. , Negrepontis , S. ( 1969 ). F-spaces and their product with P-spaces . Pacific J. Math. 28 ( 3 ): 489 – 502 .
   Google Scholar
• Dugundji , J. ( 1966 ). Topology . Boston : Allyn and Bacon Inc.
   Google Scholar
• Gillman , L. , Henriksen , M. ( 1956 ). Rings of continuous functions in which every finitely generated ideal is principal . Trans. Amer. Math. Soc. 82 ( 2 ): 366 – 391 .
   Google Scholar
• Gillman , L. , Jerison , M. ( 1960 ). Rings of Continuous Functions . New York : D. Van Nostrand Publishing .
   Google Scholar
• Henriksen , M. , Wilson , R. ( 1992a ). When is C(X)/P a valuation ring for every prime ideal P? Topology and Applications 44 : 175 – 180 .
   Web of Science ®Google Scholar
• Henriksen , M. , Wilson , R. ( 1992b ). Almost discrete SV-spaces . Topology and Applications 46 : 89 – 97 .
   Web of Science ®Google Scholar
• Henriksen , M. , Larson , S. , Martinez , J. , Woods , R. G. ( 1994 ). Lattice-ordered algebras that are subdirect products of valuation domains . Trans. Amer. Math. Soc. 345 : 193 – 221 .
   Web of Science ®Google Scholar
• Larson , S. ( 1986 ). Convexity conditions on f-rings . Canadian J. Math. 38 : 48 – 64 .
   Web of Science ®Google Scholar
• Larson , S. ( 1997 ). f-Rings in which every maximal ideal contains finitely many minimal prime ideals . Comm. Algebra 25 ( 12 ): 3859 – 3888 .
   Web of Science ®Google Scholar
• Larson , S. ( 2003 ). Constructing rings of continuous functions in which there are many maximal ideals with nontrivial rank . Comm. Algebra 31 ( 5 ): 2183 – 2206 .
   Web of Science ®Google Scholar
• Larson , S. Rings of continuous functions on spaces of finite rank and the SV property . To appear in Comm. Algebra .
   Google Scholar
• Martinez , J. , Woodward , S. ( 1992 ). Bezout and Prüfer f-rings . Comm. Algebra 20 : 2975 – 2989 .
   Web of Science ®Google Scholar
• Communicated by I. Swanson.
   Google Scholar