Abstract
In this paper a new sheaf for topological algebras, called the sheaf of extendible ideals, is introduced. It is shown that the sheaf space of this sheaf is uniformizable but not complete in general.
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Abel M.,Structure of Gelfand-Mazur algebras. Dissertationes Mathematicae Universitatis Tartuensis, Tartu University Press, Tartu,31 (2003).
Choukri R., El Kinani A., Oukhouya A.,On the sheaf theory. Rend. Circ. Mat. Palermo (2)55 (2006), 185–191.
Horváth J.,Topological spaces and distributions I. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966.
Mallios A.,Geometry of Vector Sheaves. An Axiomatic Approach to Differential Geometry, Vol. I–II. Kluwer Acad. Publ., Dordrecht, 1998.
Willard S.,General topology. Addison-Wesley Publishing Co., Reading, Mass-Menla Park, Cal.-London-Don Mills, Ont., 1970.
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The research of both of the authors was supported by Estonian Science Foundation grant 6205.
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Abel, M., Abel, M. On the sheaf of extendible ideals of topological algebras. Rend. Circ. Mat. Palermo 56, 207–218 (2007). https://doi.org/10.1007/BF03031440
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DOI: https://doi.org/10.1007/BF03031440