Zero morphism
Zero morphism In category theory, a zero morphism is a special kind of "trivial" morphism. Suppose C is a category, and ...
http://en.wikipedia.org/wiki/Zero_morphism - 2k - Cached - Similar pages

Talk:Zero morphism
Talk:Zero morphism I don't feel the courage to ... examples from algebra (groups and rings) at Zero homomorphism instead. -- Toby Bartels 11:50, 28 ...
http://en.wikipedia.org/wiki/Talk:Zero_morphism - 1k - Cached - Similar pages

Morphism
Morphism In mathematics, a morphism is an abstraction of a structure-preserving ... There are two operations defined on every morphism, the domain (or source) and the codomain ... to their codomain, e.g. if a morphism f has domain X and codomain Y ... for every object X, there exists a morphism id X : X → X called ...
http://en.wikipedia.org/wiki/Morphism - 12k - Cached - Similar pages

Normal morphism
Normal morphism In category theory and its applications to ... is a particularly well-behaved type of morphism. A normal category is a category in ... reasonable. Definition A category C must have zero morphisms for the concept of normality to ... if it is the kernel of some morphism, and an epimorphism is normal (or conormal ... if it is the cokernel of some morphism. C itself is normal if every ...
http://en.wikipedia.org/wiki/Normal_morphism - 3k - Cached - Similar pages

Talk:Division by zero
Talk:Division by zero Unicode Mathematical Symbols? I was wondering what ... useful way to treat a divide-by-zero case, but which is appropriate probably depends ... of 1/x as x tends to zero does not exist, even in the extended ... of x are there in each containter? Zero. But, you actually don't even have ... is why one can't divide by zero. Er.. I dunno. Evil saltine 23: ...
http://en.wikipedia.org/wiki/Talk:Division_by_zero - 84k - Cached - Similar pages

Universal property
... which requires the existence of a unique morphism under certain conditions. These properties are called ... be an object of C. A universal morphism from X to U consists of a ... φ : X → U(A) is a morphism in C, such that the following universal ... f : X → U(Y) is a morphism in C, then there exists a unique morphism g : A → Y such that ...
http://en.wikipedia.org/wiki/Universal_property - 17k - Cached - Similar pages

Preadditive category
... is an abelian group, it 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 other morphism (on either ...
http://en.wikipedia.org/wiki/Preadditive_category - 16k - Cached - Similar pages

0 (number)
... 0. For other uses of 0 or "zero", see 0 (disambiguation) 0 1 2 3 ... 50 60 70 80 90 >> Cardinal 0 zero ought nought naught nil Ordinal 0th zeroth ... Octal 0 Duodecimal 0 Hexadecimal 0 0 (zero), alternatively called naught, nil, nada, ought, zilch ... the idea of 'negative integers' was accepted. Zero is an integer which quantifies a count ... if the number of your brothers is zero, that means the same thing as ...
http://en.wikipedia.org/wiki/0_(number) - 56k - Cached - Similar pages

Kernel (category theory)
... from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X which, when composed with f, yields zero. Note that kernel pairs and difference kernels ... category-theoretical sense, C needs to have zero morphisms. In that case, if f : X → Y is an arbitrary morphism in C, then a kernel of ...
http://en.wikipedia.org/wiki/Kernel_(category_theory) - 10k - Cached - Similar pages

Initial object
... X in C, there exists precisely one morphism I → X. The dual notion is ... X in C there exists a single morphism X → T. Initial objects are also ... initial and terminal, we call it a zero object. Despite the names, initial object and related concepts are unrelated with initial morphism, zero morphism and such. Properties Not all ...
http://en.wikipedia.org/wiki/Initial_object - 11k - Cached - Similar pages