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Lateral and Dedekind Completion of Archimedean Lattice Groups
Author(s) -
Bernau S. J.
Publication year - 1976
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-12.3.320
Subject(s) - dedekind cut , citation , lattice (music) , combinatorics , computer science , library science , mathematics , physics , acoustics
summary:In this paper we deal with a homogeneity condition for an $MV$-algebra concerning a generalized cardinal property. As an application, we consider the homogeneity with respect to $\alpha $-completeness, where $\alpha $ runs over the class of all infinite cardinals