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Published June 1939 | public
Journal Article

A characterization of Dedekind structures

Ward, Morgan

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.

Additional Information

© 1939 American Mathematical Society. Presented to the Society, April 15, 1939.

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023