A class of simple lattice-ordered groups
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- by Charles Holland PDF
- Proc. Amer. Math. Soc. 16 (1965), 326-329 Request permission
References
- Garrett Birkhoff, Lattice Theory, Revised edition, American Mathematical Society Colloquium Publications, Vol. 25, American Mathematical Society, New York, N. Y., 1948. MR 0029876
- A. H. Clifford, A noncommutative ordinally simple linearly ordered group, Proc. Amer. Math. Soc. 2 (1952), 902–903. MR 45739, DOI 10.1090/S0002-9939-1951-0045739-4
- Paul Conrad, The structure of a lattice-ordered group with a finite number of disjoint elements, Michigan Math. J. 7 (1960), 171–180. MR 116059
- Charles Holland, The lattice-ordered groups of automorphisms of an ordered set, Michigan Math. J. 10 (1963), 399–408. MR 158009
- Paul Lorenzen, Über halbgeordnete Gruppen, Math. Z. 52 (1949), 483–526 (German). MR 33826, DOI 10.1007/BF02230707
- B. H. Neumann, On ordered groups, Amer. J. Math. 71 (1949), 1–18. MR 28312, DOI 10.2307/2372087
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 326-329
- MSC: Primary 06.75; Secondary 20.00
- DOI: https://doi.org/10.1090/S0002-9939-1965-0173717-3
- MathSciNet review: 0173717