On homomorphisms on Cs\'{a}sz\'{a}r frames
Commun. Korean Math. Soc. 2008 Vol. 23, No. 3, 453-459
Printed September 1, 2008
Se Hwa Chung
Kyungwon University
Abstract : We introduce a concept of continuous homomorphisms between Cs\'{a}sz\'{a}r frames and show that the Cauchy completion in CsFrm gives rise to a coreflection in the category PCsFrm (resp. UCsFrm) consisting of proximal Cs\'{a}sz\'{a}r frames and uniform continuous homomorphisms (resp. uniform Cs\'{a}sz\'{a}r frames and uniform continuous homomorphisms).
Keywords : frames, strict extension, uniform continuous homomorphisms, surjections, Cauchy homomorphism, proximal Cs\'{a}sz\'{a}r frames, uniform Cs\'{a}sz\'{a}r frames, regular Cauchy filters, Cauchy completions
MSC numbers : Primary 06D22, 18A40, 54A15, 54D35
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