Hopfian Boolean algebras of power less than or equal to continuum
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- by James T. Loats PDF
- Proc. Amer. Math. Soc. 77 (1979), 186-190 Request permission
Abstract:
An infinite Boolean algebra (BA) is said to be hopfian if every onto endomorphism is one-to-one. It is shown that there are no countably infinite hopfian BA’s. An atomic hopfian BA of power continuum is constructed.References
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- R. McKenzie and J. D. Monk, On automorphism groups of Boolean algebras, Infinite and finite sets (Colloq., Keszthely, 1973; dedicated to P. Erdős on his 60th birthday), Vol. II, Colloq. Math. Soc. János Bolyai, Vol. 10, North-Holland, Amsterdam, 1975, pp. 951–988. MR 0376476
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 186-190
- MSC: Primary 06E05
- DOI: https://doi.org/10.1090/S0002-9939-1979-0542082-1
- MathSciNet review: 542082