Raftery, James G.; Sturm, Teo On completions of pseudo-normed BCK-algebras and pseudo-metric universal algebras. (English) Zbl 0666.08005 Math. Jap. 33, No. 6, 919-929 (1988). It is shown that if a class C of pseudo-metric algebras is closed under subalgebras, homomorphic images and countable direct powers, then the metric identification and the metric completion of any algebra from C belongs to C, too. It is also shown that the closedness under homomorphic images is no necessary condition - a class of BCK-algebras is the example given to show this. Reviewer: M.Pałasiński Cited in 1 Document MSC: 08B99 Varieties 54H99 Connections of general topology with other structures, applications 06F99 Ordered structures 54E25 Semimetric spaces Keywords:pseudo-metric algebras; subalgebras; homomorphic images; countable direct powers; metric identification; metric completion; BCK-algebras PDFBibTeX XMLCite \textit{J. G. Raftery} and \textit{T. Sturm}, Math. Japon. 33, No. 6, 919--929 (1988; Zbl 0666.08005)