Embedding countable rings in $2$-generator rings
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- by K. C. O’Meara PDF
- Proc. Amer. Math. Soc. 100 (1987), 21-24 Request permission
Abstract:
A short elementary proof involving matrices is used to show that any countable ring can be embedded in a $2$-generator ring. Immediate corollaries are the known results that any countable (respectively finite) semigroup can be embedded in a $2$-generator (respectively finite $2$-generator) semigroup.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 21-24
- MSC: Primary 16A56; Secondary 16A42, 16A44, 20M05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0883394-6
- MathSciNet review: 883394