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lattice-ordered group; radical class; closure operator; atom

References:

[1] Anderson, M., Feil, T.: **Lattice-Ordered Groups (An Introduction)**. D. Reidel Publishing Company, 1988. MR 0937703

[2] Bleier, R. D., Conrad, P.: **$a^*$-closures of lattice-ordered groups**. Trans. Math. Soc. 209 (1975), 367-387. MR 0404087

[3] Conrad, P.: **Lattice-Ordered Groups**. Tulane Lecture Notes (1970), Tulane University. Zbl 0258.06011

[4] Conrad, P.: **$K$-radical classes of lattice ordered groups**. Algebra, Proc. Conf. Carbondale (1980), Lecture Notes Math., 848, 186-207. MR 0613186

[5] Darnel, M.: **Closure operators on radical classes of lattice-ordered groups**. Czech. Math. J. 37(112) (1987), 51-64. MR 0875127 | Zbl 0661.06007

[6] Glass, A. M. W., Holland, W. C.: **Lattice-Ordered Groups (Advances and Techniques)**. Kluwer Academic Publisher, 1989. MR 1036072

[7] Jakubik, J.: **Radical mappings and radical classes of lattice ordered groups**. Symposia Math. 21 (1977), 451-477, Academic Press. MR 0491397 | Zbl 0368.06013

[8] Jakubik, J.: **On $K$-radical classes of lattice ordered groups**. Czech. Math. J. 33(108) (1983), 149-163. MR 0687428 | Zbl 0521.06016

[9] Kenny, G. O.: **Lattice-Ordered Groups**. Ph.D. dissertation, University of Kansas (1975). MR 2625950

[10] Martinez, J.: **Torsion theory for lattice ordered groups**. Czech. Math. J. 25(100) (1975), 284-299. MR 0389705 | Zbl 0321.06020

[11] Ton, Dao-Rong: **Product radical classes of $\ell $-groups**. Czech. Math. J. 42(117) (1992), 129-142. MR 1152176