In field theory, a branch of algebra, a field extension is said to be regular if k is algebraically closed in L (i.e., where is the set of elements in L algebraic over k) and L is separable over k, or equivalently, is an integral domain when is the algebraic closure of (that is, to say, are linearly disjoint over k).[1][2]
In field theory, a branch of algebra, a field extension L / k {\displaystyle L/k} is said to be regular if k is algebraically closed in L (i.e., k = k...
computer algebra Regular element (disambiguation), certain kinds of elements of an algebraic structure Regularextension of fields Regular ideal (multiple...
regular languages include assertions. These include the ubiquitous ^ and $, used since at least 1970, as well as some more sophisticated extensions like...
up extension field in Wiktionary, the free dictionary. Field theory Glossary of field theory Tower of fields Primary extensionRegularextension Fraleigh...
In mathematics, a transcendental extension L / K {\displaystyle L/K} is a field extension such that there exists an element in the field L {\displaystyle...
topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C have...
Life extension is the concept of extending the human lifespan, either modestly through improvements in medicine or dramatically by increasing the maximum...
Agricultural extension is the application of scientific research and new knowledge to agricultural practices through farmer education. The field of 'extension' now...
geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent...
point in the interior of a regular polyhedron to the sides is independent of the location of the point (this is an extension of Viviani's theorem.) However...
transcendental extension An extension E/F in which every element of E not in F is transcendental over F. Regularextension An extension E/F such that E...
The extension complexity depends on the precise shape of P {\displaystyle P} , not just on its combinatorial structure. For instance, regular polygons...
as the Google Chrome Extensions Gallery. Some extensions focus on providing accessibility features. Google Tone is an extension developed by Google that...
field is primary. An extension is regular if and only if it is separable and primary. A primary extension of a perfect field is regular. Fried & Jarden (2008)...
theory, a forking extension of a type is an extension of that type that is not free[clarify] whereas a non-forking extension is an extension that is as free...
unemployment extension occurs when regular unemployment benefits are exhausted and extended for additional weeks. Unemployment extensions are created by...
write code that resembles regular English as closely as practical. One could argue this is just as well possible without extension methods, but one will find...
that such an extension be included in the next CBA. The collective bargaining agreement signed in 2011 maintained the sixteen game regular season schedule...
In computing, Physical Address Extension (PAE), sometimes referred to as Page Address Extension, is a memory management feature for the x86 architecture...
geometrically regular ring is a Noetherian ring over a field that remains a regular ring after any finite extension of the base field. Geometrically regular schemes...
hexagon and its net is usually depicted as a cross. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges...
artificial nail extensions, but can also be used like nail polish. They are hardened using ultraviolet light. They last longer than regular nail polish and...
new options for C Line extension to Torrance". Urbanize Los Angeles. Retrieved August 12, 2022. "Board of Directors - Regular Board Meeting". Metro. Retrieved...
ring in d variables over an extension field of k. The ring A = k [ x ] / ( x 2 ) {\displaystyle A=k[x]/(x^{2})} is not a regular local ring since it is finite...
Regular clergy, or just regulars, are clerics in the Catholic Church who follow a rule (Latin: regula) of life, and are therefore also members of religious...
D Line Subway Extension Project, formerly known as the Westside Subway Extension, the Subway to the Sea, and the Purple Line Extension, is a construction...
(OCSP) stapling, formally known as the TLS Certificate Status Request extension, is a standard for checking the revocation status of X.509 digital certificates...
regular map. A morphism from an algebraic variety to the affine line is also called a regular function. A regular map whose inverse is also regular is...
Global Information
