simple subfield
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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
Computer-supported collaboration — (CSC) research focuses on technology that affects groups, organizations, communities and societies, e.g., voice mail and text chat. It grew from cooperative work study of supporting people s work activities and working relationships. As net… … 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
Fundamental theorem of Galois theory — In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions.In its most basic form, the theorem asserts that given a field extension E / F which is finite and Galois,… … 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
anthropology — anthropological /an threuh peuh loj i keuhl/, anthropologic, adj. anthropologically, adv. /an threuh pol euh jee/, n. 1. the science that deals with the origins, physical and cultural development, biological characteristics, and social customs… … Universalium
Inorganic chemistry — For the journal, see Inorganic Chemistry (journal). Inorganic compounds show rich variety: A: Diborane features unusual bonding B: Caesium chloride has an archetypal crystal structure C: Fp2 is an organometallic complex D … Wikipedia
economics — /ek euh nom iks, ee keuh /, n. 1. (used with a sing. v.) the science that deals with the production, distribution, and consumption of goods and services, or the material welfare of humankind. 2. (used with a pl. v.) financial considerations;… … Universalium
Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… … Wikipedia
Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… … Wikipedia
