Article
Keywords:
lattice ordered group; projectability; splitting property; Dedekind completeness
Summary:
In this paper we deal with the notions of projectability, spliting property and Dedekind completeness of lattice ordered groups, and with the relations between these notions.
References:
                        
[3] S. Bernau: 
Orthocompletion of lattice ordered groups. Proc. London Math. Soc. 16 (1966), 107–130. 
MR 0188113[5] P. F. Conrad: 
The essential closure of an archimedean lattice group. Duke Math. J. 38 (1971), 151–160. 
MR 0277457[6] J. Jakubík: 
Splitting property of lattice ordered groups. Czechoslovak Math. J. 24 (1974), 257–269. 
MR 0349523[7] J. Jakubík: 
Strongly projectable lattice ordered groups. Czechoslovak Math. J. 26 (1976), 642–652. 
MR 0429690[8] J. Jakubík: 
Orthogonal hull of a strongly projectable lattice ordered group. Czechoslovak Math. J. 28 (1978), 484–504. 
MR 0505957[9] J. Jakubík: 
Maximal Dedekind completion of an abelian lattice ordered group. Czechoslovak Math. J. 28 (1978), 611–631. 
MR 0506435[10] J. Jakubík: 
Projectable kernel of a lattice ordered group. Universal Algebra and Applications. Banach Center Publ. 9 (1982), 105–112. 
MR 0738807[14] A. V. Koldunov and G. Ya. Rotkovich: 
Archimedean lattice ordered groups with the splitting property. Czechoslovak Math. J. 37 (1987), 7–18. (Russian) 
MR 0875123