منابع مشابه
On the Congruence Lattice of an Abelian Lattice Ordered Group
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
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In this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. Also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore,...
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For any left orderable group G, we recall from work of McCleary that isolated points in the space LO(G) correspond to basic elements in the free lattice ordered group F (G). We then establish a new connection between the kernels of certain maps in the free lattice ordered group F (G), and the topology on the space of left orderings LO(G). This connection yields a simple proof that no left order...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1969
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700005760