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- Zero_divisor abstract "In abstract algebra, an element a of a ring R is called a left zero divisor if there exists a nonzero x 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 such that ya = 0. This is a partial case of divisibility in rings. An element that is a left or a right zero divisor is simply called a zero divisor. An element a that is both a left and a right zero divisor is called a two-sided zero divisor (the nonzero x such that ax = 0 may be different from the nonzero y such that ya = 0). If the ring is commutative, then the left and right zero divisors are the same.An element of a ring that is not a zero divisor is called regular, or a non-zero-divisor. A zero divisor that is nonzero is called a nonzero zero divisor or a nontrivial zero divisor.".
- Zero_divisor wikiPageID "51441".
- Zero_divisor wikiPageLength "9235".
- Zero_divisor wikiPageOutDegree "48".
- Zero_divisor wikiPageRevisionID "705166049".
- Zero_divisor wikiPageWikiLink 0_(number).
- Zero_divisor wikiPageWikiLink Abstract_algebra.
- Zero_divisor wikiPageWikiLink Additive_map.
- Zero_divisor wikiPageWikiLink Associated_prime.
- Zero_divisor wikiPageWikiLink Category:0_(number).
- Zero_divisor wikiPageWikiLink Category:Abstract_algebra.
- Zero_divisor wikiPageWikiLink Category:Ring_theory.
- Zero_divisor wikiPageWikiLink Commutative_ring.
- Zero_divisor wikiPageWikiLink Determinant.
- Zero_divisor wikiPageWikiLink Divisibility_(ring_theory).
- Zero_divisor wikiPageWikiLink Division_ring.
- Zero_divisor wikiPageWikiLink Element_(mathematics).
- Zero_divisor wikiPageWikiLink Endomorphism_ring.
- Zero_divisor wikiPageWikiLink Field_(mathematics).
- Zero_divisor wikiPageWikiLink Function_composition.
- Zero_divisor wikiPageWikiLink Glossary_of_commutative_algebra.
- Zero_divisor wikiPageWikiLink Hideyuki_Matsumura.
- Zero_divisor wikiPageWikiLink Idempotent_element.
- Zero_divisor wikiPageWikiLink If_and_only_if.
- Zero_divisor wikiPageWikiLink Integer.
- Zero_divisor wikiPageWikiLink Integral_domain.
- Zero_divisor wikiPageWikiLink Invertible_matrix.
- Zero_divisor wikiPageWikiLink Matrix_ring.
- Zero_divisor wikiPageWikiLink Modular_arithmetic.
- Zero_divisor wikiPageWikiLink Multiplicatively_closed_set.
- Zero_divisor wikiPageWikiLink Nicolas_Bourbaki.
- Zero_divisor wikiPageWikiLink Nilpotent.
- Zero_divisor wikiPageWikiLink Pointwise.
- Zero_divisor wikiPageWikiLink Prime_number.
- Zero_divisor wikiPageWikiLink Product_of_rings.
- Zero_divisor wikiPageWikiLink Ring_(mathematics).
- Zero_divisor wikiPageWikiLink Sequence.
- Zero_divisor wikiPageWikiLink Total_ring_of_fractions.
- Zero_divisor wikiPageWikiLink Unit_(ring_theory).
- Zero_divisor wikiPageWikiLink Zero-product_property.
- Zero_divisor wikiPageWikiLink Zero_ring.
- Zero_divisor wikiPageWikiLinkText "Zero divisor".
- Zero_divisor wikiPageWikiLinkText "non-zero-divisor".
- Zero_divisor wikiPageWikiLinkText "non-zero-divisors".
- Zero_divisor wikiPageWikiLinkText "zero divisor".
- Zero_divisor id "p/z099230".
- Zero_divisor title "Zero Divisor".
- Zero_divisor title "Zero divisor".
- Zero_divisor urlname "ZeroDivisor".
- Zero_divisor wikiPageUsesTemplate Template:Citation.
- Zero_divisor wikiPageUsesTemplate Template:Math.
- Zero_divisor wikiPageUsesTemplate Template:MathWorld.
- Zero_divisor wikiPageUsesTemplate Template:Mvar.
- Zero_divisor wikiPageUsesTemplate Template:Springer.
- Zero_divisor subject Category:0_(number).
- Zero_divisor subject Category:Abstract_algebra.
- Zero_divisor subject Category:Ring_theory.
- Zero_divisor type Integer.
- Zero_divisor comment "In abstract algebra, an element a of a ring R is called a left zero divisor if there exists a nonzero x 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 such that ya = 0. This is a partial case of divisibility in rings. An element that is a left or a right zero divisor is simply called a zero divisor.".
- Zero_divisor label "Zero divisor".
- Zero_divisor sameAs Q828111.
- Zero_divisor sameAs قاسم_الصفر.
- Zero_divisor sameAs Divisor_de_zero.
- Zero_divisor sameAs Dělitel_nuly.
- Zero_divisor sameAs Nullteiler.
- Zero_divisor sameAs Μηδενοδιαιρέτης.
- Zero_divisor sameAs Nuldivizoro.
- Zero_divisor sameAs Divisor_de_cero.
- Zero_divisor sameAs Nullitegur.
- Zero_divisor sameAs Diviseur_de_zéro.
- Zero_divisor sameAs מחלק_אפס.
- Zero_divisor sameAs Zérusosztó.
- Zero_divisor sameAs 零因子.
- Zero_divisor sameAs 영인자.
- Zero_divisor sameAs Nuldeler.
- Zero_divisor sameAs Nulldivisor.
- Zero_divisor sameAs Dzielnik_zera.
- Zero_divisor sameAs Divisor_de_zero.
- Zero_divisor sameAs m.0dkr7.
- Zero_divisor sameAs Делитель_нуля.
- Zero_divisor sameAs Deliteľ_nuly.
- Zero_divisor sameAs Delitelj_niča.
- Zero_divisor sameAs Nolldelare.
- Zero_divisor sameAs Дільник_нуля.
- Zero_divisor sameAs Q828111.
- Zero_divisor sameAs 零因子.
- Zero_divisor wasDerivedFrom Zero_divisor?oldid=705166049.
- Zero_divisor isPrimaryTopicOf Zero_divisor.