Valuation (algebra) — In algebra (in particular in algebraic geometry or algebraic number theory), a valuation is a function on a field that provides a measure of size or multiplicity of elements of the field. They generalize to commutative algebra the notion of size… … Wikipedia
Valuation ring — In abstract algebra, a valuation ring is an integral domain D such that for every element x of its field of fractions F , at least one of x or x 1 belongs to D .Given a field F , if D is a subring of F such that either x or x 1 belongs to D 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
forest valuation — taksacija statusas T sritis ekologija ir aplinkotyra apibrėžtis Kiekybinis ir kokybinis miško vertinimas pagal medžių, medynų ir jų dalių pirminius požymius (augalų rūšį, šakotumą, ydas) ir parametrus (aukštį, storį). atitikmenys: angl. field… … Ekologijos terminų aiškinamasis žodynas
p-adically closed field — In mathematics, a p adically closed field is a field that enjoys a closure property that is a close analogue for p adic fields to what real closure is to the real field. They were introduced by James Ax and Simon B. Kochen in 1965.[1] Contents 1… … Wikipedia
Discrete valuation ring — In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions: R is a local… … Wikipedia
Discrete valuation — In mathematics, a discrete valuation is an integer valuation on a field k, that is a function satisfying the conditions . Note that often the trivial valuation which takes on only the values … Wikipedia
Local field — In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non discrete topology.[1] Given such a field, an absolute value can be defined on it. There are two basic types of local field … 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
Real options valuation — Real options valuation, also often termed Real options analysis,[1] (ROV or ROA) applies option valuation techniques to capital budgeting decisions.[2] A real option itself, is the right but not the obligation to undertake some business decision; … Wikipedia
