A Connection Between the Reticulation of a Ring of Quotients and the Localization Lattice of the Reticulation of a Commutative Ring

REFERENCES

• Brezuleanu , A. , Diaconescu , R. ( 1969 ). Sur la duale de la catégorie des treillis . Rev. Roum. Math. Pures et Appl. XIV 3 : 311 – 323 .
   Google Scholar
• Georgescu , G. ( 1985 ). F-multipliers and the localization of distributive lattices . Algebra Universalis 21 : 181 – 197 .
   Google Scholar
• Georgescu , G. ( 1991 ). F-multipliers and the localization of distributive lattices II . Zeitschr. f. Math. Logik und Grundlagen d. Math. 37 : 293 – 300 .
   Google Scholar
• Johnstone , P. T. ( 1982 ). Stone Spaces . Cambridge : Cambridge University Press .
   Google Scholar
• Năstăsescu , C. ( 1976 ). Inele, Module, Categorii . Bucharest, Romania : Editura Academiei R.S.R.
   Google Scholar
• Schmid , J. ( 1980 ). Multipliers on distributive lattices and rings of quotients . Houston J. Math. 6 : 401 – 425 .
   Google Scholar
• Simmons , H. ( 1980 ). Reticulated rings . J. Algebra 66 : 169 – 192 .
   Web of Science ®Google Scholar
• Stenström , B. ( 1975 ). Rings of Quotients . Springer-Verlag .
   Google Scholar
• Communicated by R. Wisbauer.
   Google Scholar