Product radical classes of ℓ -groups

Dao Rong Tong

Czechoslovak Mathematical Journal (1992)

  • Volume: 42, Issue: 1, page 129-142
  • ISSN: 0011-4642

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Tong, Dao Rong. "Product radical classes of $\ell $-groups." Czechoslovak Mathematical Journal 42.1 (1992): 129-142. <http://eudml.org/doc/31251>.

@article{Tong1992,
author = {Tong, Dao Rong},
journal = {Czechoslovak Mathematical Journal},
keywords = {radical class of -groups; product radical class; product radical mappings; multiplication of radical classes; polar closure operator; completion; homogeneity condition for -groups},
language = {eng},
number = {1},
pages = {129-142},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Product radical classes of $\ell $-groups},
url = {http://eudml.org/doc/31251},
volume = {42},
year = {1992},
}

TY - JOUR
AU - Tong, Dao Rong
TI - Product radical classes of $\ell $-groups
JO - Czechoslovak Mathematical Journal
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 42
IS - 1
SP - 129
EP - 142
LA - eng
KW - radical class of -groups; product radical class; product radical mappings; multiplication of radical classes; polar closure operator; completion; homogeneity condition for -groups
UR - http://eudml.org/doc/31251
ER -

References

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  1. Lattice-Ordered Groups (An Introduction), D. Riedel Publishing Company, 1988. (1988) MR0937703
  2. Unique representation of Archimedean lattice groups and normal Archimedean lattice rings, Proc. London Math. Soc. 15 (1965), 599–631. (1965) MR0182661
  3. Lattice-Ordered Groups, Tulane Lecture Notes, Tulane University, 1970. (1970) Zbl0258.06011
  4. Closure operators on radical classes of lattice-ordered groups, Czech. Math. J. 37(112) (1987), 51–64. (1987) Zbl0661.06007MR0875127
  5. Lattice-Ordered Groups (Advances and Techniques), Kluwer Academic Publishers, 1989. (1989) MR1036072
  6. Varieties of ℓ -groups are torsion classes, Czech. Math. J. 29 (1979), 11–12. (1979) MR0518135
  7. Radical mappings and radical classes of lattice ordered groups, Symposia Math. 21 (1977), Academic Press, 451–477. (1977) Zbl0368.06013MR0491397
  8. Products of radical classes of lattice ordered groups, Acta Mathematica Comenianae 39 (1980), 31–41. (1980) Zbl0508.06019MR0619260
  9. Radical subgroups of lattice ordered groups, Czech. Math J. 36(111) (1986), 285–297. (1986) Zbl0605.06013MR0831316
  10. Lattice-Ordered Groups, Ph.D. dissertation, University of Kansas, 1975. (1975) 
  11. Torsion theory for lattice ordered groups, Czech. Math. J. 25(100) (1975), 284–299. (1975) Zbl0321.06020MR0389705
  12. 10.1090/S0002-9947-1980-0561839-7, Trans. Amer. Math. Soc. 259 (1980), 311–317. (1980) Zbl0433.06016MR0561839DOI10.1090/S0002-9947-1980-0561839-7
  13. The structure of a complete ℓ -group, . 

Citations in EuDML Documents

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  1. Ján Jakubík, Radical classes of generalized Boolean algebras
  2. Dao Rong Tong, Atoms in lattice of radical classes of lattice-ordered groups
  3. Ján Jakubík, Radical classes of complete lattice ordered groups
  4. Ján Jakubík, Convexities of lattice ordered groups
  5. Ján Jakubík, Closed convex l -subgroups and radical classes of convergence l -groups
  6. Ján Jakubík, Weak σ -distributivity of lattice ordered groups
  7. Ján Jakubík, Radical classes of M V -algebras
  8. Ján Jakubík, On some types of radical classes
  9. Ján Jakubík, Radical classes of distributive lattices having the least element

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