l-simple lattice-ordered groups
1974 ◽
Vol 19
(2)
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pp. 133-138
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Keyword(s):
Let G be a lattice-ordered group (l-group) and H a subgroup of G. H is said to be an l-subgroup of G if it is a sublattice of G. H is said to be convex if h1, h2 ∈ H and h2 ≦ g ≦ h2 imply g ∈ H. The normal convex l-subgroups (l-ideals) of an l-group play the same role in the study of lattice-ordered groups as do normal subgroups in the investigation of groups. For this reason, an l-group is said to be l-simple if it has no non-trivial l-ideals. As in group theory, a central task in the examination of lattice-ordered groups is to characterise those l-groups which are l-simple.
1971 ◽
Vol 5
(3)
◽
pp. 331-335
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Keyword(s):
1969 ◽
Vol 21
◽
pp. 1004-1012
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Keyword(s):
2019 ◽
Vol 38
(5)
◽
pp. 215-232
Keyword(s):
Keyword(s):
1983 ◽
Vol 94
(1)
◽
pp. 29-33
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Keyword(s):
Keyword(s):