Torsion classes and subdirect products of Carathéodory vector lattices

Ján Jakubík

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 1, page 79-92
  • ISSN: 0232-0525

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Jakubík, Ján. "Torsion classes and subdirect products of Carathéodory vector lattices." Mathematica Slovaca 56.1 (2006): 79-92. <http://eudml.org/doc/31854>.

@article{Jakubík2006,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {Carathéodory vector lattice; generalized Boolean algebra; torsion class; completely subdirect product},
language = {eng},
number = {1},
pages = {79-92},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Torsion classes and subdirect products of Carathéodory vector lattices},
url = {http://eudml.org/doc/31854},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubík, Ján
TI - Torsion classes and subdirect products of Carathéodory vector lattices
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 1
SP - 79
EP - 92
LA - eng
KW - Carathéodory vector lattice; generalized Boolean algebra; torsion class; completely subdirect product
UR - http://eudml.org/doc/31854
ER -

References

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  2. CONRAD P., Lattice Ordered Groups, Tulane Universitу, Math. Res. Librarу, New Orleans, 1970. (1970) Zbl0258.06011
  3. CONRAD P., Torsion radicals of lattice-ordered groups, Sуmpos. Math. 21 (1977), 479-513. (1977) Zbl0372.06011MR0465969
  4. CONRAD P.-DARNEL M. R., Subgroups and hulls of Specker lattice-ordered groups, Czechoslovak Math. J. (To appear). Zbl0978.06011MR1844319
  5. GOFMAN C., Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions, Trans. Amer. Math. Soc 88 (1958), 107-120. (1958) MR0097331
  6. JAKUBÍK J., Cardinal properties of lattice ordered groups, Fund. Math. 74 (1972), 85-98. (1972) Zbl0259.06015MR0302528
  7. JAKUBÍK J., Prime selectors and torsion classes of lattice ordered groups, Czechoslovak Math. J. 31 (1981), 325-337. (1981) Zbl0473.06012MR0611086
  8. JAKUBÍK J., Torsion classes of Specker lattice ordered groups, Czechoslovak Math. J. 52 (2002), 469-482. Zbl1012.06018MR1923254
  9. JAKUBÍK J., On vector lattices of elementary Carathéodory functions, Czechoslovak Math. J. 55 (2005), 223-236. Zbl1081.06021MR2121669
  10. JAKUBÍK J., On Carathéodory vector lattices, Math. Slovaca 53 (2003), 479-503. Zbl1071.06009MR2038515
  11. MARTINEZ J., Torsion theory for lattice ordered groups, Czechoslovak Math. J. 25 (1975), 284-299. (1975) Zbl0321.06020MR0389705
  12. MARTINEZ J., Torsion theory for lattice ordered groups II, Czechoslovak Math. J. 26 (1976), 93-100. (1976) Zbl0331.06009MR0389706
  13. ŠIK F., Über subdirekte Summen geordneter Gruppen, Czechoslovak Math. J. 10 (I960), 400-424. Zbl0102.26501MR0123626

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