Differential algebra
In mathematics, differential rings, differential fields, and differential algebras are rings, fields, and algebras equipped with finitely many derivations, which are unary functions that are linear and satisfy the Leibniz product rule. A natural example of a differential field is the field of rational functions in one variable over the complex numbers, , where the derivation is differentiation with respect to t.
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Abraham SeidenbergAdjoint representationAlgebra over a fieldAlgebraic analysisAlgebraic differential equationAmenable Banach algebraAnalysis of flowsAndrzej Białynicki-BirulaAndrzej_GrzegorczykCayley–Dickson constructionChain ruleD-moduleDerivation (differential algebra)Derivation algebraDerivativeDifference algebraDifferentialDifferential (mathematics)Differential Galois theoryDifferential algebraic geometryDifferential calculus over commutative algebrasDifferential fieldDifferential graded categoryDifferential idealDifferential ringDifferentially closed fieldElementary functionField (mathematics)Figurative system of human knowledgeGeneral Leibniz ruleGeneralizations of the derivativeGeneralized functionGlossary of areas of mathematicsGlossary of ring theoryGraded manifoldGröbner basisHoward LeviInternational Symposium on Symbolic and Algebraic ComputationJoris van der HoevenJoseph Ritt
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Differential algebra
In mathematics, differential rings, differential fields, and differential algebras are rings, fields, and algebras equipped with finitely many derivations, which are unary functions that are linear and satisfy the Leibniz product rule. A natural example of a differential field is the field of rational functions in one variable over the complex numbers, , where the derivation is differentiation with respect to t.
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Em matemática, anéis diferenci ...... diferenciação com relação a t.
@pt
En matemàtiques, l'àlgebra dif ...... lexos dotats amb la derivació.
@ca
In matematica, l'algebra diffe ...... ta, cioè la regola di Leibniz.
@it
In mathematics, differential r ...... oduced by Joseph Ritt in 1950.
@en
Pierścień różniczkowy, ciało r ...... waniem jest różniczka względem
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Диференціальними кільцями, пол ...... ідповідає диференціювання по .
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Дифференциальными кольцами, по ...... Риттом (1950) и его учеником .
@ru
在数学中，微分环、微分域和微分代数是环、域、代数装备一个导子 ...... 数域上的单变元有理函数 C(t)，其导子是关于 t 的微分。
@zh
数学において、微分環（びぶんかん、英: differenti ...... rntial Algebra) と呼ぶ。微分環はが導入した。
@ja
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Em matemática, anéis diferenci ...... diferenciação com relação a t.
@pt
En matemàtiques, l'àlgebra dif ...... lexos dotats amb la derivació.
@ca
In matematica, l'algebra diffe ...... ta, cioè la regola di Leibniz.
@it
In mathematics, differential r ...... erentiation with respect to t.
@en
Pierścień różniczkowy, ciało r ...... waniem jest różniczka względem
@pl
Диференціальними кільцями, пол ...... ідповідає диференціювання по .
@uk
Дифференциальными кольцами, по ...... Риттом (1950) и его учеником .
@ru
在数学中，微分环、微分域和微分代数是环、域、代数装备一个导子 ...... 数域上的单变元有理函数 C(t)，其导子是关于 t 的微分。
@zh
数学において、微分環（びぶんかん、英: differenti ...... rntial Algebra) と呼ぶ。微分環はが導入した。
@ja
label
Algebra differenziale
@it
Algebra różniczkowa
@pl
Differential algebra
@en
Àlgebra diferencial
@ca
Álgebra diferencial
@pt
Диференціальна алгебра
@uk
Дифференциальная алгебра
@ru
微分代数
@zh
微分環
@ja
미분 대수
@ko