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A nonzero ring in which every nonzero element is multiplicatively invertible.
wp-division-ringstacks-algebra-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Every field is in particular a division ring; retain the same operations while viewing commutativity as extra.
Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.
wp-fieldnlab-fieldstacks-algebra-textThis is an authored directed relation from the source endpoint to the target endpoint.
Require each nonzero element to be multiplicatively invertible.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-division-ringstacks-algebra-textEach relation below starts at this concept.
No direct relations are authored in this direction.