Composite field (mathematics)

A composite field is an object of study in field theory. Let L be a field, and let F, K be subfields of L. Then the (internal) composite of F and K is defined to be the intersection of all subfields of L containing both F and K. The composite is commonly denoted FK. When F and K are not regarded as subfields of a common field then the (external) composite is defined using the tensor product of fields.

References

• Roman, Steven (1995). Field Theory. New York: Springer-Verlag. ISBN 0-387-94407-9. , especially chapter 2

This algebra-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Field theory Algebra stubs Wikimedia Foundation. 2010. Игры ⚽ Нужен реферат? December 20-21, 2006 Colorado Blizzard Pittsford Mendon High School Look at other dictionaries: Composite field — See also: Composite field (mathematics) In quantum field theory, a composite field is a field defined in terms of other more elementary fields. It might describe a composite particle (bound state) or it might not. It might be local, or it might… …   Wikipedia List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium Mathematics — Maths and Math redirect here. For other uses see Mathematics (disambiguation) and Math (disambiguation). Euclid, Greek mathematician, 3r …   Wikipedia List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia The Academy for Mathematics, Science, and Engineering — Academy for Math, Science, and Engineering Location 520 West Main Street Rockaway, NJ 07866 Information Type Magnet Public high school School district Morris County Vocational School District …   Wikipedia Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… …   Wikipedia Zero-point field — In quantum field theory, the zero point field is the lowest energy state of a field, i.e. its ground state, which is non zero. [cite book | last = Gribbin | first = John | title = Q is for Quantum An Encyclopedia of Particle Physics | publisher …   Wikipedia Simcoe Composite School — Infobox Education in Canada name = Simcoe Composite School imagesize= motto= Non sibi sed patriae motto translation= streetaddress= 40 Wilson Avenue city = Simcoe province = Ontario postalcode= N3Y 2E5 areacode= 519 phone= 426 4664 fax= email=… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”