Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra. It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication. Through this generalization, theorems from arithmetic are extended to non-numerical objects such as polynomials, series, matrices and functions.
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Algebraic ringArithmetic propertiesAssociative ringAssociative ringsMathematical ringRing (abstract algebra)Ring (algebra)Ring (math)Ring (maths)Ring actionRing axiomsRing mathRing mathematicsRing mathsRing objectRing of functionsRing unitRing with UnityRing with a unitRing with identityRing with unityUnit elementUnit ringUnital ringUnitary algebraUnitary ring
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Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra. It consists of a set equipped with two binary operations that generalize the arithmetic operations of addition and multiplication. Through this generalization, theorems from arithmetic are extended to non-numerical objects such as polynomials, series, matrices and functions.
has abstract
Ein Ring ist eine algebraische ...... haften von Ringen beschäftigt.
@de
Em matemática, um anel é uma e ...... nhecida como teoria dos anéis.
@pt
En algèbre, on appelle anneaux ...... ur dire « anneau commutatif ».
@fr
En álgebra moderna, un anillo ...... elemento neutro del producto.
@es
In matematica, in particolare ...... a è detta teoria degli anelli.
@it
In mathematics, a ring is one ...... topological space in topology.
@en
Pierścień – struktura formaliz ...... jedynką, pierścień przemienny.
@pl
Кольцо́ (также ассоциативное к ...... й -теории, теории инвариантов.
@ru
في الجبر التجريدي، الحلقة (بال ...... الجمع والجداء المتعارف عليهما.
@ar
数学における環（かん、英: ring）は、台集合に「加法」（ ...... て以来、非可換幾何学が環論の分野として活発になってきている。
@ja
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Ein Ring ist eine algebraische ...... haften von Ringen beschäftigt.
@de
Em matemática, um anel é uma e ...... éis torna um princípio organiz
@pt
En algèbre, on appelle anneaux ...... lleurs dénommée pseudo-anneau.
@fr
En álgebra moderna, un anillo ...... nto A dado, se denota como –a.
@es
In matematica, in particolare ...... a è detta teoria degli anelli.
@it
In mathematics, a ring is one ...... eries, matrices and functions.
@en
Pierścień – struktura formaliz ...... nazywa się teorią pierścieni.
@pl
Кольцо́ (также ассоциативное к ...... . -теории, теории инвариантов.
@ru
في الجبر التجريدي، الحلقة (بال ...... الجمع والجداء المتعارف عليهما.
@ar
数学における環（かん、英: ring）は、台集合に「加法」（ ...... る特殊相対性）や物質化学における対称現象の理解にも寄与する。
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label
Anel (matemática)
@pt
Anello (algebra)
@it
Anillo (matemática)
@es
Anneau (mathématiques)
@fr
Pierścień (matematyka)
@pl
Ring (Algebra)
@de
Ring (mathematics)
@en
Кольцо (математика)
@ru
حلقة (رياضيات)
@ar
环 (代数)
@zh
