branch of mathematics, a zero morphism is a special kind of morphism exhibiting properties like the morphisms to and from a zero object. Suppose C is a...
4 KB (546 words) - 17:34, 13 July 2024
other of morphisms. There are two objects that are associated to every morphism, the source and the target. A morphism f from X to Y is a morphism with source...
12 KB (1,499 words) - 17:32, 10 July 2024
zero morphism in a category is a generalised absorbing element under function composition: any morphism composed with a zero morphism gives a zero morphism...
8 KB (1,102 words) - 05:13, 13 August 2024
Initial and terminal objects (redirect from Zero object)
called a zero object or null object. A pointed category is one with a zero object. A strict initial object I is one for which every morphism into I is...
11 KB (1,336 words) - 16:25, 21 January 2024
Kernel (category theory) (redirect from Kernel of a morphism)
algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with (followed by) f. Note...
7 KB (950 words) - 06:26, 1 October 2023
has a zero element 0. This is the zero morphism from A to B. Because composition of morphisms is bilinear, the composition of a zero morphism and any...
12 KB (1,672 words) - 03:44, 26 March 2024
as A → C → I → B, where the morphism on the left is the coimage, the morphism on the right is the image, and the morphism in the middle (called the parallel...
10 KB (1,382 words) - 03:45, 26 March 2024
question must have zero morphisms. The cokernel of a morphism f : X → Y is defined as the coequalizer of f and the zero morphism 0XY : X → Y. Explicitly...
8 KB (1,077 words) - 07:39, 5 March 2024
Null morpheme (redirect from Zero morph)
(linguistics) Null allomorph Zero (linguistics) Disfix "Lexicon of Linguistics". lexicon.hum.uu.nl. Retrieved 2019-12-05. "Zero Morph". Glossary of Linguistic...
5 KB (587 words) - 21:52, 1 July 2023