Groups in which every maximal partial order is exhaustive
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- by Gary J. Sherman PDF
- Proc. Amer. Math. Soc. 40 (1973), 83-86 Request permission
Abstract:
Let $G$ be a group. A partial order $P$ on $G$ is exhaustive if each nongeneralized periodic element of $G$ is either positive or negative with respect to $P$. The class of groups on which every maximal partial order is exhaustive is characterized and shown to be closed under homomorphisms. An example is given to show that the class of groups on which every maximal right partial order is exhaustive is not closed under direct products.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 83-86
- MSC: Primary 06A55
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318033-6
- MathSciNet review: 0318033