Keyboard graph navigation: press N for concepts or E for relations; use arrow keys, Home, and End to move; Enter selects; Shift plus Enter selects and centers; plus and minus zoom; zero fits; Escape clears the selection. Use the visible viewport buttons as alternatives to dragging, wheel, and pinch gestures.
Canonical static concept record
Open this concept in the interactive graphRead the Markdown equivalent
A ring-like structure without requiring additive inverses.
Convention: semirings here are unital and have an absorbing zero. Some literature drops one or both requirements.
wp-semiringnlab-semiringstacks-algebra-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Impose compatibility between the two operations.
Feed several structures into a construction junction and impose compatibility between them.
wp-semiringnlab-semiringstacks-algebra-textEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
With its usual operations, is a commutative semiring and is initial among semirings in the standard unital convention.
The target is a member or subtype of the broader source class.
nlab-natural-numberThis is an authored directed relation from the source endpoint to the target endpoint.
Require the additive commutative monoid to be an abelian group.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-ringnlab-ringstacks-algebra-text