- zero-divisor
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/zear"oh di vuy"zeuhr/, n. Math.a nonzero element of a ring such that its product with some other nonzero element of the ring equals zero.
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Universalium. 2010.
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Universalium. 2010.
Zero divisor — In abstract algebra, a nonzero element a of a ring is a left zero divisor if there exists a nonzero b such that ab = 0.[1] Similarly, a nonzero element a of a ring is a right zero divisor if there exists a nonzero c such that ca = 0. An element… … Wikipedia
zero-divisor — /zear oh di vuy zeuhr/, n. Math. a nonzero element of a ring such that its product with some other nonzero element of the ring equals zero … Useful english dictionary
Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers … Wikipedia
Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… … Wikipedia
Divisor — divisible redirects here. For divisibility of groups, see Divisible group. For the second operand of a division, see Division (mathematics). For divisors in algebraic geometry, see Divisor (algebraic geometry). For divisibility in the ring theory … Wikipedia
Division by zero — This article is about the mathematical concept. For other uses, see Division by zero (disambiguation). The function y = 1/x. As x approaches 0 from the right, y approaches infinity. As x approaches 0 from the left, y approaches negative … Wikipedia
List of zero terms — The number 0 is an important concept in mathematics.Zero moduleIn mathematics, the zero module is the module consisting of only the additive identity for the module s addition function. In the integers, this identity is zero, which gives the name … Wikipedia
Greatest common divisor — In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), or highest common factor (hcf), of two or more non zero integers, is the largest positive integer that divides the numbers without a remainder. For … Wikipedia
Greatest common divisor of two polynomials — Informally, the greatest common divisor (GCD) of two polynomials p ( x ) and q ( x ) is the biggest polynomial that divides evenly into both p ( x ) and q ( x ). The definition is modeled on the concept of the greatest common divisor of two… … Wikipedia
Topological divisor of zero — In mathematics, in a topological algebra A , zin A is a topological divisor of zero if there exists a neighbourhood U of zero and a net (x i) {iin I} with forall iin I, x i in Asetminus U and zx i longrightarrow Oin A. If the topological algebra… … Wikipedia