A class of simple lattice-ordered groups
Author:
Charles Holland
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
Full-text PDF
References | Similar Articles | Additional Information
- [1] G. Birkhoff, Lattice theory, rev. ed., Amer. Math. Soc. Colloq. Publ. Vol. 25, Amer. Math. Soc., Providence, R. I., 1948. MR 0029876 (10:673a)
- [2] A. H. Clifford, A noncommutative ordinally simple linearly ordered group, Proc. Amer. Math. Soc. 2 (1952), 902-903. MR 0045739 (13:625a)
- [3] P. Conrad, The structure of a lattice-ordered group with a finite number of elements, Michigan Math. J. 7 (1960), 171-180. MR 0116059 (22:6854)
- [4] C. Holland, The l-group of automorphisms of an ordered set, Michigan Math. J. 10 (1963), 399-408. MR 0158009 (28:1237)
- [5] P. Lorenzen, Über halbgeordnete Gruppen, Math. Z. 52 (1949), 484-526. MR 0033826 (11:497a)
- [6] B. H. Neumann, On ordered groups, Amer. J. Math. 71 (1948), 1-18. MR 0028312 (10:428a)
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06.75, 20.00
Retrieve articles in all journals with MSC: 06.75, 20.00
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1965-0173717-3
Article copyright:
© Copyright 1965
American Mathematical Society