J. Korean Math. Soc. 2005; 42(2): 291-304
Printed March 1, 2005
Copyright © The Korean Mathematical Society.
Se Hwa Chung
Kyungwon University
We introduce a concept of Cauchy complete Cs\'{a}sz\'{a}r frames and construct Cauchy completions of Cs\'{a}sz\'{a}r frames using strict extensions of frames and show that the Cauchy completion gives rise to a coreflection in the categories CsFrm and UCsFrm.
Keywords: frame, frame homomorphism, Cs$\acute{a}$sz$\acute{a}$r frame, Cauchy complete Cs\'{a}sz\'{a}r frame, Cauchy completion, uniform Cs\'{a}sz\'{a}r frame, Cauchy homomorphism, uniform homomorphism, regular Cauchy filter
MSC numbers: 06D99, 18A40, 54A15, 54D35
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