algebraic number field
8179 (number) — ← 78 80 → 79 ← 70 71 72 73 74 75 76 77 …
82Fundamental unit (number theory) — In algebraic number theory, a fundamental unit is a generator for the torsion free unit group of the ring of integers of a number field, when that group is infinite cyclic. See also Dirichlet s unit theorem.For rings of the form mathbb{Z} [sqrt… …
83Finite 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… …
84Hyperreal number — *R redirects here. For R*, see Rockstar Games. The system of hyperreal numbers represents a rigorous method of treating the infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R… …
85Constructible number — For numbers constructible in the sense of set theory, see Constructible universe. A point in the Euclidean plane is a constructible point if, given a fixed coordinate system (or a fixed line segment of unit length), the point can be constructed… …
86Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …
87Motive (algebraic geometry) — For other uses, see Motive (disambiguation). In algebraic geometry, a motive (or sometimes motif, following French usage) denotes some essential part of an algebraic variety . To date, pure motives have been defined, while conjectural mixed… …
88Dual number — For dual grammatical number found in some languages, see Dual (grammatical number). In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2 = 0 (ε is nilpotent). The collection of dual… …
89Linear algebraic group — In mathematics, a linear algebraic group is a subgroup of the group of invertible n times; n matrices (under matrix multiplication) that is defined by polynomial equations. An example is the orthogonal group, defined by the relation MTM = I where …
90Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …
