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Zero divisor

In abstract algebra, an element a of a ring R is called a left zero divisor if there exists a nonzero x in R such that ax = 0, or equivalently if the map from R to R that sends x to ax is not injective. Similarly, an element a of a ring is called a right zero divisor if there exists a nonzero y in R such that ya = 0. This is a partial case of…

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Examples

Non-examples

Properties

Zero as a zero divisor

Zero divisor on a module

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Map overview Semantic statistics

Zero divisor

Nodes50
Edges49
Triples52
Avg. degree1.96
Density0.04
Components1

How this topic connects Entity context

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Zero divisor

Top relations

related to One-sided zero-divisor · 17
Zero divisor → All, Consider, End, Here, However, If, Let, LP, LR, PR, PRL, RL, RLP, Take, That, Then, Three
related to Further reading · 12
Zero divisor → Algebras, EMS Press, Encyclopedia, ISBN, Kirichenko, Mathematics, Michiel Hazewinkel, Nadezhda Mikhaĭlovna Gubareni, Nadiya Gubareni, Springer, Vladimir, Zero
related to Zero divisor on a module · 6
Zero divisor → Let, M-regular, One, R-module, Specializing, The
related to Examples · 4
Zero divisor → An, Examples, In, The
related to Properties · 4
Zero divisor → An, In, Left, That
related to Non-examples · 3
Zero divisor → More, Since, The
see also · 3
Zero divisor → Exact, Zero-divisor, Zero-product
related to Zero as a zero divisor · 2
Zero divisor → If, There

Important terminology Word statistics

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Important terminology

zero ring divisor displaystyle element nonzero left right called divisors commutative two-sided regular zero-divisor matrices set end ax non-zero-divisor cancellable

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the followinginstance ofbut they then suffer from having to introduce exceptions in statements0.80text
Zero divisorrelated to ExamplesIn0.60section
Zero divisorrelated to ExamplesThe0.60section
Zero divisorrelated to ExamplesAn0.60section
Zero divisorrelated to ExamplesExamples0.60section
Zero divisorrelated to Further readingZero0.60section
Zero divisorrelated to Further readingEncyclopedia0.60section
Zero divisorrelated to Further readingMathematics0.60section
Zero divisorrelated to Further readingEMS Press0.60section
Zero divisorrelated to Further readingMichiel Hazewinkel0.60section
Zero divisorrelated to Further readingNadiya Gubareni0.60section
Zero divisorrelated to Further readingNadezhda Mikhaĭlovna Gubareni0.60section

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    Min side: 3
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