Generalization of a quotient by an equivalence relation to objects in an arbitrary category
In 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 categorical construction dual to the equalizer.
A coequalizer is a colimit of the diagram consisting of two objects X and Y and two parallel morphisms f, g : X → Y. More explicitly, a coequalizer of...
executive branch, while legislative authority vests in a separate but coequal legislature. Meanwhile, judicial power is constitutionally guaranteed to...
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, this means the following...
category SetC. Every coequalizer is an epimorphism, a consequence of the uniqueness requirement in the definition of coequalizers. It follows in particular...
complete. If f : X → Y is a morphism in C, and is a pullback, then the coequalizer of p0, p1 exists. The pair (p0, p1) is called the kernel pair of f. Being...
Department of the Navy, alongside the United States Marine Corps, which is its coequal sister service. The Department of the Navy is headed by the civilian secretary...
God in most Christian churches, which defines one God existing in three coequal, coeternal, consubstantial divine persons: God the Father, God the Son...
personality of the alter ego." Bingham has described him as having "two coequal personas; the earnest idealist, the nostalgic figure of the homespun boy...
or less than another. But the whole three Persons are coeternal, and coequal. So that in all things, as aforesaid; the Unity in Trinity, and the Trinity...
Marshall sought to do away with this practice to help build the Court into a coequal branch. Suddath, Claire (December 19, 2008). "A Brief History of Impeachment"...
when UCLA became the first UC site outside of Berkeley to achieve de jure coequal status with the Berkeley campus. That month, the regents approved a reorganization...
Hampton Roads. Lincoln refused to negotiate with the Confederacy as a coequal; his objective to end the fighting was not realized. On April 1, 1865,...
representatives in the Council of States. On most topics the Rajya Sabha is coequal with the lower house or Lok Sabha, and its consent is required for a bill...
codifying segregation and racism. Alabama's government is divided into three coequal branches. The legislative branch is the Alabama Legislature, a bicameral...
official language of Kazakhstan is Kazakh. Kazakh language is used on coequal grounds. Yet Kazakhstan is suffering from lack of culture. Most of younger...
(disambiguation) Trinity, the Christian doctrine of one God existing in three coequal, coeternal, consubstantial divine persons This disambiguation page lists...
Mansfield (2006), pp. 205–206 Schüssler Fiorenza, Elisabeth, The Praxis of Coequal Discipleship, in Horsley, Richard A., ed., Paul and Empire: Religion and...
legislature in a presidential system is considered an independent and coequal branch of government along with both the judiciary and the executive. Nevertheless...
governmental offices and banners. Wu elevated Luoyang's status, making it a coequal capital. At her nephew Wu Chengsi's suggestion, she expanded the shrine...
Particularly during the period from AD 395 to 476, there were separate, coequal courts dividing the governance of the empire into the Western provinces...
"The Macedonian people will acquire an independent, united state with a coequal position within the family of free peoples' republics within the Balkans...
passed the Statute of Westminster in 1931 which acknowledged Canada as coequal with the United Kingdom and the other Commonwealth realms. It was a crucial...
eternal relation to the first Person (God as Father). He is considered coequal with the Father and Holy Spirit and is all God and all human: the Son of...
a Father, and both Father and Son existed always together, eternally, coequally and consubstantially. The anti-Arian argument thus stated that the Logos...
commands, and the space deltas. The Space Force is organized as one of two coequal military service branches within the Department of the Air Force, the other...