Abstract. One of the central results of the early theory of lattice ordered groups is a theorem due to Ján Jakubik, telling that a maximal convex chain containing the identity element is a direct factor. In this paper it is shown --- along the lines of Bigard--Keimel--Wolfenstein --- how far this result carries over to divisibility semigroups and divisibility semiloops.
AMS Subject Classification
(1991): 06F
Keyword(s):
lattice monoids,
lattice loops,
divisibility,
decomposition
Received February 3, 1999, and in final form May 8, 2000. (Registered under 2774/2009.)
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