|
|||||
|
|
|
|
|
|
|
|
|
Archimedean and basic
elements in completely distributive lattice-ordered
groups
Robert Horace Redfield |
|
Vol. 63 (1976), No. 1, 247–253
|
Abstract |
|
It is known that the bi-prime group B(G) of an l-group G contains the basic elements of G. We show that every l-group G possesses a unique, maximal, archimedean, convex l-subgroup A(G), and that if G is completely distributive and if A(G) is representable, then B(G) has a basis. |
Mathematical Subject Classification
Primary: 06A55, 06A55
|
Milestones
Received: 1 July 1975
Published: 1 March 1976
|
Authors |
| Robert Horace Redfield | |
|
