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Coequalizer information


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.

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Coequalizer

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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...

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Massachusetts

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executive branch, while legislative authority vests in a separate but coequal legislature. Meanwhile, judicial power is constitutionally guaranteed to...

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Cokernel

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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...

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Epimorphism

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category SetC. Every coequalizer is an epimorphism, a consequence of the uniqueness requirement in the definition of coequalizers. It follows in particular...

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Regular category

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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...

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United States Navy

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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...

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Trinity

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God in most Christian churches, which defines one God existing in three coequal, coeternal, consubstantial divine persons: God the Father, God the Son...

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James Stewart

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personality of the alter ego." Bingham has described him as having "two coequal personas; the earnest idealist, the nostalgic figure of the homespun boy...

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Athanasian Creed

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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...

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Supreme Court of the United States

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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"...

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University of California

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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...

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Abraham Lincoln

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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,...

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Constitution of India

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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...

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Alabama

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codifying segregation and racism. Alabama's government is divided into three coequal branches. The legislative branch is the Alabama Legislature, a bicameral...

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Languages of Kazakhstan

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official language of Kazakhstan is Kazakh. Kazakh language is used on coequal grounds. Yet Kazakhstan is suffering from lack of culture. Most of younger...

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Three body

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(disambiguation) Trinity, the Christian doctrine of one God existing in three coequal, coeternal, consubstantial divine persons This disambiguation page lists...

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Matriarchy

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Mansfield (2006), pp. 205–206 Schüssler Fiorenza, Elisabeth, The Praxis of Coequal Discipleship, in Horsley, Richard A., ed., Paul and Empire: Religion and...

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Legislature

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legislature in a presidential system is considered an independent and coequal branch of government along with both the judiciary and the executive. Nevertheless...

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Wu Zetian

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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...

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Western Roman Empire

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Particularly during the period from AD 395 to 476, there were separate, coequal courts dividing the governance of the empire into the Western provinces...

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Communist Party of Greece

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"The Macedonian people will acquire an independent, united state with a coequal position within the family of free peoples' republics within the Balkans...

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History of Canada

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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...

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God in Christianity

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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...

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First Council of Nicaea

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a Father, and both Father and Son existed always together, eternally, coequally and consubstantially. The anti-Arian argument thus stated that the Logos...

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Structure of the United States Space Force

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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...

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