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=== Algebra and number theory === * [[Regular category]], a kind of category that has similarities to both Abelian categories and to the category of sets * [[Regular chain]]s in computer algebra * [[Regular element (disambiguation)]], certain kinds of elements of an algebraic structure * [[Regular extension]] of fields * [[Regular ideal]] (multiple definitions) * [[Regular Lie group]] * [[Regular matrix (disambiguation)]] * [[Regular monomorphism]]s and [[regular epimorphism]]s, monomorphisms (resp. epimorphisms) which equalize (resp. coequalize) some parallel pair of morphisms * [[Regular number]]s, numbers which evenly divide a power of 60 * [[Regular p-group]], a concept capturing some of the more important properties of abelian ''p''-groups, but general enough to include most "small" ''p''-groups * [[Regular prime]], a prime number ''p'' > 2 that does not divide the class number of the ''p''-th cyclotomic field * The [[regular representation]] of a group G, the linear representation afforded by the group action of G on itself * [[Regular ring]], a ring such that all its localizations have Krull dimension equal to the minimal number of generators of the maximal ideal ** [[von Neumann regular ring]], or absolutely flat ring (unrelated to the previous sense) * [[Regular semi-algebraic system]]s in computer algebra * [[Regular semigroup]], related to the previous sense * [[Semigroup with involution#.2A .E2.80.93 regular semigroups|*-regular semigroup]]
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