article on: <span class="searchmatch">field</span> <span class="searchmatch">extension</span> Wikipedia <span class="searchmatch">field</span> <span class="searchmatch">extension</span> (plural <span class="searchmatch">field</span> <span class="searchmatch">extensions</span>) (algebra, <span class="searchmatch">field</span> theory, algebraic geometry) Any pair of <span class="searchmatch">fields</span>, denoted L/K...
Wikipedia has an article on: <span class="searchmatch">extension</span> <span class="searchmatch">field</span> Wikipedia <span class="searchmatch">extension</span> <span class="searchmatch">field</span> (plural <span class="searchmatch">extension</span> <span class="searchmatch">fields</span>) (algebra, <span class="searchmatch">field</span> theory) A <span class="searchmatch">field</span> L which contains a subfield...
<span class="searchmatch">field</span> <span class="searchmatch">extensions</span> plural of <span class="searchmatch">field</span> <span class="searchmatch">extension</span> <span class="searchmatch">extension</span> <span class="searchmatch">fields</span>...
<span class="searchmatch">extension</span> <span class="searchmatch">fields</span> plural of <span class="searchmatch">extension</span> <span class="searchmatch">field</span> <span class="searchmatch">field</span> <span class="searchmatch">extensions</span>...
an article on: simple <span class="searchmatch">extension</span> Wikipedia simple <span class="searchmatch">extension</span> (plural simple <span class="searchmatch">extensions</span>) (algebra, <span class="searchmatch">field</span> theory) A <span class="searchmatch">field</span> <span class="searchmatch">extension</span> obtained by adjoining...
article on: algebraic <span class="searchmatch">extension</span> Wikipedia algebraic <span class="searchmatch">extension</span> (plural algebraic <span class="searchmatch">extensions</span>) (algebra, <span class="searchmatch">field</span> theory) A <span class="searchmatch">field</span> <span class="searchmatch">extension</span> L/K which is algebraic...
separable <span class="searchmatch">extension</span> Wikipedia separable <span class="searchmatch">extension</span> (plural separable <span class="searchmatch">extensions</span>) (algebra) A finite (and thereby algebraic) <span class="searchmatch">extension</span> of a base <span class="searchmatch">field</span> such that...
such that the fixed <span class="searchmatch">field</span> of its automorphism group (Galois group) Aut(E/F) is the base <span class="searchmatch">field</span> F. The significance of a Galois <span class="searchmatch">extension</span> is that it has a...
normal <span class="searchmatch">extension</span> (plural normal <span class="searchmatch">extensions</span>) (algebra) A finite, algebraic <span class="searchmatch">extension</span> of some <span class="searchmatch">field</span> such that if it contains any root of any irreducible...
played. (Association football) A playing <span class="searchmatch">field</span> on which the game of association football is played. (by <span class="searchmatch">extension</span>) An informal unit of measure of area, equal...