Closed subgroups and complete distributivity in lattice-ordered groups

1967 ◽  
Vol 101 (2) ◽  
pp. 123-130 ◽  
Author(s):  
Richard D. Byrd ◽  
Justin T. Lloyd
Keyword(s):  
Complete Distributivity ◽  
Ordered Groups ◽  
Lattice Ordered Groups

Generalized Commutativity of Lattice-Ordered Groups

2015 ◽  
Vol 65 (2) ◽  
Author(s):  
M. R. Darnel ◽  
W. C. Holland ◽  
H. Pajoohesh
Keyword(s):  
Theorem Proving ◽  
Natural Generalization ◽  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Weak Commutativity

AbstractIn this paper we explore generalizations of Neumann’s theorem proving that weak commutativity in ordered groups actually implies the group is abelian. We show that a natural generalization of Neumann’s weak commutativity holds for certain Scrimger ℓ-groups.

A theorem and a question about epicomplete archimedean lattice-ordered groups

2009 ◽  
Vol 62 (2-3) ◽  
pp. 165-184 ◽  
Author(s):  
R. N. Ball ◽  
A. W. Hager ◽  
D. G. Johnson ◽  
A. Kizanis
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Archimedean Lattice

Suprema of classes of generalized scrimger varieties of lattice ordered groups

1981 ◽  
Vol 176 (3) ◽  
pp. 293-309 ◽  
Author(s):  
Norman R. Reilly ◽  
Roger Wroblewski
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups
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