- infinite extension field
- sonsuz genişleme cismi
English-Turkish dictionary. 2013.
infinite extension field
Look at other dictionaries:
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
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
Glossary of field theory — Field theory is the branch of mathematics in which fields are studied. This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.) Definition of a field A field is a commutative ring… … Wikipedia
Infinite divisibility — The concept of infinite divisibility arises in different ways in philosophy, physics, economics, order theory (a branch of mathematics), and probability theory (also a branch of mathematics). One may speak of infinite divisibility, or the lack… … Wikipedia
field — Synonyms and related words: DMZ, academic discipline, academic specialty, aceldama, achievement, acreage, aerodrome, agora, air base, airdrome, airfield, airport, alerion, ambit, amphitheater, ample scope, animal charge, annulet, answer,… … Moby Thesaurus
Infinite monkey theorem — Not to be confused with Hundredth monkey effect. Given enough time, a hypothetical monkey typing at random would, as part of its output, almost surely produce all of Shakespeare s plays. In this image a chimpanzee is giving it a try. The infinite … Wikipedia
extension — Synonyms and related words: L, access, accession, accessory, accompaniment, accretion, accrual, accruement, accumulation, acreage, addenda, addendum, additament, addition, additive, additory, additum, adjunct, adjuvant, advance, affective meaning … Moby Thesaurus
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
Group extension — In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q and N are two groups, then G is an extension of Q by N if there is a short exact sequence:1 ightarrow N… … Wikipedia
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Algebraic extension — In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K , i.e. if every element of L is a root of some non zero polynomial with coefficients in K . Field extensions which are not algebraic, i.e.… … Wikipedia
