Some properties of lattices of radical classes of lattice-ordered groups

1996 ◽  
Vol 36 (2) ◽  
pp. 190-201
Author(s):  
D. -R. Ton
Keyword(s):  
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

Lattice-Ordered Groups

1987 ◽  
pp. 412-445
Author(s):  
Garrett Birkhoff
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups

scholarly journals Settling a number of questions about hyper-Archimedean lattice-ordered groups

1990 ◽  
Vol 109 (2) ◽  
pp. 291-291 ◽  
Author(s):  
Paul Conrad ◽  
Jorge Martinez
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Archimedean Lattice

scholarly journals Amalgamations of lattice ordered groups

1972 ◽  
Vol 172 ◽  
pp. 249-249 ◽  
Author(s):  
Keith R. Pierce
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups

scholarly journals Finitely generic abelian lattice-ordered groups

1983 ◽  
Vol 277 (1) ◽  
pp. 113-113 ◽  
Author(s):  
Dan Saracino ◽  
Carol Wood
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Abelian Lattice

scholarly journals On abelian pseudo lattice ordered groups

1968 ◽  
Vol 27 (2) ◽  
pp. 411-419 ◽  
Author(s):  
John Teller
Keyword(s):  
Ordered Groups ◽  
Lattice Ordered Groups

scholarly journals Minimal vector lattice covers

1971 ◽  
Vol 5 (3) ◽  
pp. 331-335 ◽  
Author(s):  
Roger D. Bleier
Keyword(s):  
Vector Lattice ◽  
Lattice Ordered Group ◽  
Ordered Group ◽  
Vector Lattices ◽  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Archimedean Lattice

We show that each archimedean lattice-ordered group is contained in a unique (up to isomorphism) minimal archimedean vector lattice. This improves a result of Paul F. Conrad appearing previously in this Bulletin. Moreover, we show that this relationship between archimedean lattice-ordered groups and archimedean vector lattices is functorial.

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