Language/Multiple-languages/Vocabulary/Algebra

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eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
elementary algebra		初等代数		chūděng dàishù		elementare Algebra		algèbre [f] élémentaire, algèbre [f] classique		初等代数学		しょとうだいすうがく		элемента́рная а́лгебра
abstract algebra		抽象代数		chōuxiàng dàishù		abstrakte Algebra		algèbre [f] générale, algèbre [f] abstraite		抽象代数学		ちゅうしょうだいすうがく		общая а́лгебра, абстра́ктная а́лгебра, вы́сшая а́лгебра
group theory		群论		qún lùn		Gruppentheorie [f]		théorie [f] des groupes		群論		ぐんろん		тео́рия групп
ring theory		环论		huán lùn		Ringtheorie [f]		théorie [f] des anneaux		環論		かんろん		тео́рия коле́ц
category theory		范畴论		fànchóu lùn		Kategorientheorie [f]		théorie [f] des catégories		圏論		けんろん		тео́рия катего́рий
commutative algebra		交换代数		jiāohuàn dàishù		kommutative Algebra		algèbre [f] commutative		可換環論		かかんかんろん		коммутати́вная а́лгебра
linear algebra		线性代数		xiànxìng dàishù		lineare Algebra, Vektoralgebra [f]		algèbre [f] linéaire		線型代数学		せんけいだいすうがく		лине́йная а́лгебра
multilinear algebra		多重线性代数		duōchóng xiànxìng dàishù		multilineare Algebra		algèbre [f] multilinéaire		多重線型代数		たじゅうせんけいだいすう		полилине́йная а́лгебра
universal algebra, common algebra		泛代数		fàn dàishù		universelle Algebra, allgemeine Algebra		algèbre [f] universelle		普遍代数学, 一般代数学		ふへんだいすうがく, いっぱんだいすうがく		универса́льная а́лгебра
homological algebra		同调代数		tóngdiào dàishù		homologische Algebra		algèbre [f] homologique		ホモロジー代数学		ホモロジーだいすうがく		гомологи́ческая а́лгебра

Elementary Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
dependent variable	fraction; operand <mathematical logic>	因变量		yīn biànliàng		abhängige Variable
equation	equality <mathematical logic>; expression <mathematical logic>	方程, 等式		fāngchéng, děng shì		Gleichung [f]		équation [f]
even function	function <mathematical logic>
identity	equality <mathematical logic>
independent variable, argument of a function	function <mathematical logic>	自变量		zì biànliàng		unabhängige Variable
inequation	inequality <mathematical logic>	不等式		bùděng shì		Ungleichung [f]		inéquation [f]
linear equation	equation; coefficient
odd function	function <mathematical logic>
quadratic equation	equation; coefficient
variable
unknown	variable

Abstract Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
algebraic structure	set <mathematical logic>; arity; identity
field	set <mathematical logic>; basic operations <number theory>, rational number <number theory>
identity element, neutral element	set <mathematical logic>; binary operation <mathematical logic>
inverse element	set <mathematical logic>; additive inverse <number theory>; multiplicative inverse <number theory>

Group Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
group	set <mathematical logic>
normal subgroup, invariant subgroup	subgroup; conjugation
semigroup	algebraic structure; associative property
subgroup	group; binary operation <mathematical logic>

Ring Theory

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка
ring

Commutative Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Linear Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Multilinear Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Universal Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Homological Algebra

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	!rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

* Appendix *

Adjective & Adjective Phrase; Verb & Verb Phrase

eng-Latn-US: concept	eng-Latn-US: prerequisite	cmn-Hans-CN: 概念	cmn-Hans-CN: 前提	cmn-Latn.Pinyin-CN: gàiniàn	cmn-Latn.Pinyin-CN: qiántí	deu-Latn-DE: Begriff [m]	deu-Latn-DE: Voraussetzung [f]	fra-Latn-FR: concept [m]	fra-Latn-FR: préalable [m]	jpn-Jpan-JP: 概念	jpn-Jpan-JP: 前提	jpn-Hrkt-JP: が-いねん	jpn-Hrkt-JP: ぜ+んてい	rus-Cyrl-RU: конце́пция	rus-Cyrl-RU: предпосы́лка

Symbol

symbol	eng-Latn-US: concept	cmn-Hans-CN: 概念	cmn-Latn.Pinyin-CN: gàiniàn	deu-Latn-DE: Begriff [m]	fra-Latn-FR: concept [m]	jpn-Jpan-JP: 概念	jpn-Hrkt-JP: がいねん	rus-Cyrl-RU: конце́пция

Process

eng-Latn-US: process	eng-Latn-US: constituent	cmn-Hans-CN: 过程	cmn-Hans-CN: 构件	cmn-Latn.Pinyin-CN: guòchéng	cmn-Latn.Pinyin-CN: gòujiàn	deu-Latn-DE: Prozess [m]	deu-Latn-DE: Bestandteil [m]	fra-Latn-FR: procès [m]	fra-Latn-FR: composant [m]	jpn-Jpan-JP: 過程	jpn-Jpan-JP: 構材	jpn-Hrkt-JP: かてい	jpn-Hrkt-JP: こうざい	rus-Cyrl-RU: проце́сс	rus-Cyrl-RU: соста́вная часть

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