extension by adjunction
1Adjunction (field theory) — In abstract algebra, adjunction is a construction in field theory, where for a given field extension E / F , subextensions between E and F are constructed. Definition Let E be a field extension of a field F . Given a set of elements A in the… …
2Field 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… …
3Simple 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… …
4Monad (category theory) — For the uses of monads in computer software, see monads in functional programming. In category theory, a branch of mathematics, a monad, Kleisli triple, or triple is an (endo )functor, together with two natural transformations. Monads are used in …
5List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …
6set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …
7Kummer theory — In mathematics, Kummer theory provides a description of certain types of field extensions involving the adjunction of n th roots of elements of the base field.The theory was originally developed by Ernst Kummer around the 1840s in his pioneering… …
8Primitive element theorem — In mathematics, more specifically in field theory, the primitive element theorem provides a characterization of the finite field extensions which are simple and thus can be generated by the adjunction of a single primitive element. Primitive… …
9Grammaire d'arbres adjoints — La grammaire d arbres adjoints, grammaire TAG, ou légèrement sensible au contexte est un formalisme d analyse grammaticale introduit par A.K. Joshi et ses collègues[1] en 1975. Ce formalisme a été utilisé à différentes fins, et particulièrement… …
10Romance languages — romance1 (def. 8). [1770 80] * * * Group of related languages derived from Latin, with nearly 920 million native speakers. The major Romance languages French, Spanish, Portuguese, Italian, and Romanian are national languages. French is probably… …
