The structure of a lattice-ordered group as determined by its prime subgroups
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- by Keith R. Pierce PDF
- Proc. Amer. Math. Soc. 40 (1973), 407-412 Request permission
Abstract:
We characterize by structure theorems the classes of all lattice-ordered groups in which (a) every prime subgroup is principal, (b) every proper prime subgroup is principal, and (c) every minimal prime subgroup is principal. These classes are also characterized by the structure of the root system of regular subgroups.References
- Paul Conrad, Some structure theorems for lattice-ordered groups, Trans. Amer. Math. Soc. 99 (1961), 212–240. MR 121405, DOI 10.1090/S0002-9947-1961-0121405-2 —, Lattice-ordered groups, Tulane University Lecture Notes, 1970.
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 407-412
- MSC: Primary 06A55
- DOI: https://doi.org/10.1090/S0002-9939-1973-0337719-0
- MathSciNet review: 0337719