# regular

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**Regular Army (United States)**— Please see Regular Army (disambiguation) for countries other than the United States that use this term The United States Regular Army is the permanent force of the United States Army that is maintained during peacetime, as opposed to those… …112

**Regular semigroup**— A regular semigroup is a semigroup S in which every element is regular, i.e., for each element a , there exists an element x such that axa = a . [Howie 1995 : 54.] Regular semigroups are one of the most studied classes of semigroups, and their… …113

**Regular local ring**— In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal is exactly the same as its Krull dimension. The minimal number of generators of the maximal… …114

**Regular p-group**— In mathematics, especially in the field of group theory, the concept of regular p group captures some of the more important properties of abelian p groups, but is general enough to include most small p groups. The concept was first described by… …115

**Regular graph**— In graph theory, a regular graph is a graph where each vertex has the same number of neighbors, i.e. every vertex has the same degree or valency. A regular graph with vertices of degree k is called a kregular graph or regular graph of degree… …116

**Regular cardinal**— In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.(The situation is slightly more… …117

**Regular chain**— In computer algebra, a regular chain is a particular kind of triangular set in a multivariate polynomial ring over a field. It enhances the notion of characteristic set. Introduction Given a linear system, one can convert it to a triangular… …118

**Regular Masonic jurisdictions**— The Masonic Square and Compasses. Found with or without the ‘G’ Part of a series of articles on Freemasonry …119

**Regular Expression**— In der Informatik ist ein Regulärer Ausdruck (engl. regular expression, Abk. RegExp oder Regex) eine Zeichenkette, die der Beschreibung von Mengen beziehungsweise Untermengen von Zeichenketten mit Hilfe bestimmter syntaktischer Regeln dient.… …120

**Regular Show**— title card …