Semimodular posets and the Jordan-Dedekind chain condition
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- by L. Haskins and S. Gudder PDF
- Proc. Amer. Math. Soc. 28 (1971), 395-396 Request permission
Abstract:
In this paper it is shown that an upper semimodular poset without infinite chains satisfies the Jordan-Dedekind chain condition. This corrects an error in Theorem 14, p. 40 of [1] and generalizes that theorem.References
- Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 395-396
- MSC: Primary 06.20
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276144-6
- MathSciNet review: 0276144