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Rings whose
subrings have an identity
Greg Oman and John Stroud
Vol. 13 (2020), No. 5, 823–828
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Abstract |
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Let be a ring. A nonempty subset of is a subring of if is closed under negatives, addition, and multiplication. We determine the rings for which every subring of has a multiplicative identity (which need not be the identity of ). |
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Keywords
absolutely algebraic field, Jacobson's theorem, reduced
ring
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Mathematical Subject Classification 2010
Primary: 16B99
Secondary: 13A99, 12E99
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Milestones
Received: 6 January 2020
Revised: 19 June 2020
Accepted: 6 August 2020
Published: 5 December 2020
Communicated by Kenneth S. Berenhaut
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Authors |
| Greg Oman | |
| Department of Mathematics University of Colorado Colorado Springs, CO United States |
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| John Stroud | |
| Department of Physics University of Colorado Colorado Springs, CO United States |
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