Ward, Morgan (1939) A characterization of Dedekind structures. Bulletin of the American Mathematical Society, 45 (6). pp. 448-452. ISSN 0002-9904. doi:10.1090/s0002-9904-1939-07005-5. https://resolver.caltech.edu/CaltechAUTHORS:20200324-151614527
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Abstract
If Σ is a Dedekind structure, then for any two elements A and B of Σ, the quotient structures [A, B]/A and B/(A, B) are isomorphic. (Dedekind [2], Ore [3].) I prove here a converse result.
| Item Type: | Article | ||||||
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| Additional Information: | © 1939 American Mathematical Society. Presented to the Society, April 15, 1939. | ||||||
| Issue or Number: | 6 | ||||||
| DOI: | 10.1090/s0002-9904-1939-07005-5 | ||||||
| Record Number: | CaltechAUTHORS:20200324-151614527 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200324-151614527 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 102092 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 24 Mar 2020 22:21 | ||||||
| Last Modified: | 16 Nov 2021 18:08 |
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