Some results on torsion classes of lattice-ordered groups

J. Martinez has defined the torsion classes of lattice-ordered groups and has introduced the torsion class Va [1,2]. P. Conrad has investigated some torsion classes and their interrelationships [3]. Zhinan Qi and Binghui Chen have constructed a tower of torsion classes of /-groups B\ C B2 C B3 C . . . C Bn C . . . C Βωο [4]. In this paper, we introduce the torsion classes J3a, and Fa, give the Ba-radical Z?a(G), Da-radical Da(G) and Fa-radical Fa(G) of an /-group G, and investigate the relationship among Ba, Da, and Fa.