- simple transcendental extension
*Math.*a simple extension in which the specified element is not a root of any algebraic equation in the given field. Cf.**simple algebraic extension**.

*Useful english dictionary.
2012.*

- simple transcendental extension
*Math.*a simple extension in which the specified element is not a root of any algebraic equation in the given field. Cf.**simple algebraic extension**.

*Useful english dictionary.
2012.*

**simple transcendental extension**— Math. a simple extension in which the specified element is not a root of any algebraic equation in the given field. Cf. simple algebraic extension. * * * … Universalium**simple algebraic extension**— Math. a simple extension in which the specified element is a root of an algebraic equation in the given field. Cf. simple transcendental extension. * * * … Universalium**simple algebraic extension**— Math. a simple extension in which the specified element is a root of an algebraic equation in the given field. Cf. simple transcendental extension … Useful english dictionary**Transcendental Meditation movement**— This article is about the movement. For the technique, see Transcendental Meditation technique. Maharishi Mahesh Yogi, founder of the Transcendental Meditation movement The Transcendental Meditation movement (also referred to as Transcendental… … Wikipedia**Simple extension**— In mathematics, more specifically in field theory, a simple extension is a field extension which is generated by the adjunction of a single element. Simple extensions are well understood and can be completely classified.The primitive element… … Wikipedia**Degree of a field extension**— In mathematics, more specifically field theory, the degree of a field extension is a rough measure of the size of the extension. The concept plays an important role in many parts of mathematics, including algebra and number theory indeed in any… … Wikipedia**Field extension**— In abstract algebra, field extensions are the main object of study in field theory. The general idea is to start with a base field and construct in some manner a larger field which contains the base field and satisfies additional properties. For… … Wikipedia**Differential Galois theory**— In mathematics, differential Galois theory studies the Galois groups of differential equations. Whereas algebraic Galois theory studies extensions of algebraic fields, differential Galois theory studies extensions of differential fields, i.e.… … Wikipedia**Field (mathematics)**— This article is about fields in algebra. For fields in geometry, see Vector field. For other uses, see Field (disambiguation). In abstract algebra, a field is a commutative ring whose nonzero elements form a group under multiplication. As such it … Wikipedia**Emmy Noether**— Amalie Emmy Noether Born 23 March 1882(1882 03 23) … Wikipedia