Kernel (algebra) - Kernels in Category Theory

Kernels in Category Theory

The notion of kernel in category theory is a generalisation of the kernels of abelian algebras; see Kernel (category theory). The categorical generalisation of the kernel as a congruence relation is the kernel pair. (There is also the notion of difference kernel, or binary equaliser.)

Read more about this topic:  Kernel (algebra)

Famous quotes containing the words category and/or theory:

    I see no reason for calling my work poetry except that there is no other category in which to put it.
    Marianne Moore (1887–1972)

    ... the first reason for psychology’s failure to understand what people are and how they act, is that clinicians and psychiatrists, who are generally the theoreticians on these matters, have essentially made up myths without any evidence to support them; the second reason for psychology’s failure is that personality theory has looked for inner traits when it should have been looking for social context.
    Naomi Weisstein (b. 1939)