a terminal object (also called terminal element): T is terminal if for every object X in C there exists exactly one morphism X → T. Initial objects are...
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Universal property (redirect from Initial morphism)
described more concisely as initial and terminal objects in a comma category (i.e. one where morphisms are seen as objects in their own right). Let F :...
24 KB (3,936 words) - 02:15, 26 February 2024
Outline of category theory (category Outlines of mathematics and logic)
Category of magmas Initial object Terminal object Zero object Subobject Group object Magma object Natural number object Exponential object Epimorphism Monomorphism...
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supremum and essential infimum Initial and terminal objects Maximal and minimal elements Limit superior and limit inferior (infimum limit) Upper and lower...
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any other zeros are considered to be non-trivial. Degeneracy Initial and terminal objects List of mathematical jargon Pathological Trivialism Trivial measure...
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0o, or zero object, a mathematics term for a simultaneously initial and terminal object 0O, also ZO, an abbreviation for zero order Zero-order hold,...
1 KB (185 words) - 17:08, 20 October 2023
Zero element (section Zero objects)
absorbing element, and whose principal ideal is the smallest ideal. A zero object in a category is both an initial and terminal object (and so an identity...
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Category of rings (section Limits and colimits)
colimits. The zero ring serves as both an initial and terminal object in Rng (that is, it is a zero object). It follows that Rng, like Grp but unlike...
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the absence of other forces, objects and people will experience weightlessness in these situations. Examples of objects not in free-fall: Flying in an...
17 KB (2,630 words) - 20:34, 1 September 2024
represented by certain decorated framed tangle diagrams, where the initial and terminal objects are represented by the boundary components of the tangle. In...
9 KB (1,657 words) - 04:25, 10 July 2024