- commutative complex
- мат.коммутативный комплекс
English-Russian scientific dictionary. 2008.
commutative complex
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Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with … Wikipedia
Commutative property — For other uses, see Commute (disambiguation). In mathematics an operation is commutative if changing the order of the operands does not change the end result. It is a fundamental property of many binary operations, and many mathematical proofs… … Wikipedia
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
Commutative algebra — This page deals with the area of study. For algebras which are commutative, see algebra (disambiguation). Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both… … Wikipedia
Complex cobordism — In mathematics, complex cobordism is a generalized cohomology theory related to cobordism of manifolds. Its spectrum is denoted by MU. It is an exceptionally powerful cohomology theory, but can be quite hard to compute, so often instead of using… … Wikipedia
Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a … Wikipedia
Complex conjugate — Geometric representation of z and its conjugate in the complex plane In mathematics, complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of equal magni … Wikipedia
commutative law — Logic. a law asserting that the order in which certain logical operations are performed is indifferent. [1835 45] * * * Two closely related laws of number operations. In symbols, they are stated: a + b = b + a and ab = ba. Stated in words:… … Universalium
complex number — a mathematical expression (a + bi) in which a and b are real numbers and i2 = 1. [1825 35] * * * Any number consisting of both real numbers and imaginary numbers. It has the form a + bi, where a and b are real numbers and i = 1; a is called the… … Universalium
List of commutative algebra topics — Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative… … Wikipedia
Split-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 … Wikipedia
