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Regular category information


In category theory, a regular category is a category with finite limits and coequalizers of a pair of morphisms called kernel pairs, satisfying certain exactness conditions. In that way, regular categories recapture many properties of abelian categories, like the existence of images, without requiring additivity. At the same time, regular categories provide a foundation for the study of a fragment of first-order logic, known as regular logic.

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Regular category

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In category theory, a regular category is a category with finite limits and coequalizers of a pair of morphisms called kernel pairs, satisfying certain...

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Regular

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script styles Regular category, a kind of category that has similarities to both Abelian categories and to the category of sets Regular chains in computer...

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Regular expression

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A regular expression (shortened as regex or regexp), sometimes referred to as rational expression, is a sequence of characters that specifies a match...

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Abelian category

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of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for example they are regular and they satisfy...

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Category of groups

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needed] Grp is a regular category. Borceux, Francis; Bourn, Dominique (2004). Mal'cev, protomodular, homological and semi-abelian categories. Springer. p...

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Regular Show

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Regular Show (known as Regular Show in Space during its eighth and final season) is an American animated sitcom created by J. G. Quintel for Cartoon Network...

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Canon regular

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structures or manner of life of the canons regular. Clerks regular (clerics regular) which in the modern sense are a category of priests of male religious orders...

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Prisoner security categories in the United Kingdom

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United Kingdom, prisoners are divided into four categories of security. Each adult is assigned to a category according to their crime, sentence, the risk...

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Category of relations

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allegory by Peter J. Freyd and Andre Scedrov in 1990. Starting with a regular category and a functor F: A → B, they note properties of the induced functor...

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Grammatical category

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linguistics, a grammatical category or grammatical feature is a property of items within the grammar of a language. Within each category there are two or more...

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Platonic solid

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geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent...

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Regulares

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The Fuerzas Regulares Indígenas ("Indigenous Regular Forces"), known simply as the Regulares (Regulars), are infantry units of the Spanish Army, largely...

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Tychonoff space

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functor CReg → Top. Thus the category of completely regular spaces CReg is a reflective subcategory of Top, the category of topological spaces. By taking...

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List of Regular Show episodes

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Regular Show is an American animated sitcom created by J. G. Quintel that aired on Cartoon Network from September 6, 2010, to January 16, 2017. The series...

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Tide

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each day. A "mixed tide"—two uneven magnitude tides a day—is a third regular category. Tides vary on timescales ranging from hours to years due to a number...

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Regular dodecahedron

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A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at...

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Category management

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in a category to be nominated by the retailer as a category captain. The category captain will be expected to have the closest and most regular contact...

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Category of rings

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many categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. The category Ring is a concrete category meaning...

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Current Procedural Terminology

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fees to the AMA. There are three types of CPT code: Category I, Category II, and Category III. Category I CPT Code(s). There are six main sections: (G0402)...

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Baire space

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According to the Baire category theorem, compact Hausdorff spaces and complete metric spaces are examples of Baire spaces. The Baire category theorem combined...

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Filtered category

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In category theory, filtered categories generalize the notion of directed set understood as a category (hence called a directed category; while some use...

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Regular icosahedron

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In geometry, the regular icosahedron (or simply icosahedron) is a convex polyhedron that can be constructed from pentagonal antiprism by attaching two...

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List of NBA regular season records

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article lists all-time records achieved in the NBA regular season in major statistical categories recognized by the league, including those set by teams...

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List of WNBA regular season records

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article lists all-time records achieved in the WNBA regular season in major statistical categories recognized by the league, including those set by teams...

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Regular cardinal

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a regular cardinal is a cardinal number that is equal to its own cofinality. More explicitly, this means that κ {\displaystyle \kappa } is a regular cardinal...

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Vercetti Regular

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Vercetti Regular, also known as Vercetti, is a single-weight sans serif font (freeware). It is available for use in both commercial and personal projects...

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Baire category theorem

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The Baire category theorem (BCT) is an important result in general topology and functional analysis. The theorem has two forms, each of which gives sufficient...

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Accessible category

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-accessible category is called finitely accessible. A category is called accessible if it is κ {\displaystyle \kappa } -accessible for some infinite regular cardinal...

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51st Daytime Emmy Awards

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performers will now have to enter into the regular lead, supporting or guest acting categories. The first five categories were announced on April 18, 2024, the...

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