and z in the semigroup. Semigroups may be considered a special case of magmas, where the operation is associative, or as a generalization of groups, without...

dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other...

mathematics, a quotient category is a category obtained from another category by identifying sets of morphisms. Formally, it is a quotient object in the...

The cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y / im(f) of the codomain of f by the image of f. The dimension of the...

called a quotient group or factor group. The quotient group can alternatively be characterized by a universal property. The elements of the quotient group...

sum Direct limit Direct product Inverse limit Quotient objects: quotient group, quotient ring, quotient module etc. Tensor product Advanced concepts:...

category theory, a coequalizer (or coequaliser) is a generalization of a quotient by an equivalence relation to objects in an arbitrary category. It is the...

limit and direct limit, kernels and cokernels, quotient groups, quotient vector spaces, and other quotient spaces. Before giving a formal definition of...

of f, while the monomorphism is called the image of f. Subobjects and quotient objects are well-behaved in abelian categories. For example, the poset...

Required Unneeded Magma Required Unneeded Unneeded Unneeded Unneeded Quasigroup Required Unneeded Unneeded Required Unneeded Unital magma Required Unneeded...