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абелево кольцо

Noun

(数学)アーベル環、可換環

English Meaning
(mathematics) abelian ring, commutative ring
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新しい証明は、アーベル環が興味深い代数的性質を持つことを示しています。

The new proof demonstrates that an abelian ring has interesting algebraic properties.

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genitive

nominative plural

genitive plural

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inflection-template

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class

nominative singular

nominative plural

genitive singular

genitive irregular plural

dative singular

dative plural

accusative singular

accusative plural

instrumental singular

instrumental plural

prepositional singular

plural prepositional

абелевостям

IPA(Pronunciation)
Noun
dative form-of plural

definite accusative singular of X → Xの単数対格 / plural of X → Xの複数形 / past tense of X → Xの過去形

English Meaning
dative plural of а́белевость (ábelevostʹ)
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私たちは革新的なプロジェクトの開発をアベリアニティに委ねた。

We entrusted the development of an innovative project to the abelianities.

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абелевостях

IPA(Pronunciation)
Noun
form-of plural prepositional

前置詞複数形: ロシア語の名詞の格変化の一つで、前置詞と共に用いられる複数形を指す。

English Meaning
prepositional plural of а́белевость (ábelevostʹ)
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研究論文では、著者たちは現代代数理論の発展におけるアベリアン特性の役割を詳細に検討しました。

In the research paper, the authors thoroughly examined the role of abelian properties in the development of modern algebraic theories.

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абелевостями

IPA(Pronunciation)
Noun
form-of instrumental plural

definite accusative plural of а́белевость (ábelevostʹ)

English Meaning
instrumental plural of а́белевость (ábelevostʹ)
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エンジニアは、アベリアン性を活用してシステムを最適化し、データの安全性を高めました。

Engineers optimized the system using abelian properties to enhance data security.

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абелевом кольце

Noun
form-of prepositional singular

prepositional singular of а́белево кольцо́ (ábelevo kolʹcó)

English Meaning
prepositional singular of а́белево кольцо́ (ábelevo kolʹcó)
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科学論文では、すべての方程式がアーベル環内で解を持つことが示され、これは代数学における重要な発見です。

The scientific article demonstrates that every equation has a solution in the abelian ring, which is an important discovery in algebra.

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абелевой группе

Noun
dative form-of prepositional singular

dative / prepositional singular of а́белева гру́ппа (ábeleva grúppa)

English Meaning
dative/prepositional singular of а́белева гру́ппа (ábeleva grúppa)
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私たちは、その主要な性質を検証するために実験の実施を可換群に委託しました。

We assigned the abelian group to conduct the experiment to test its key properties.

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абелевость

IPA(Pronunciation)
Noun

可換性

English Meaning
commutativity
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現代代数学において、可換性の研究は多くの計算プロセスを簡素化するのに重要な役割を果たしています。

The study of commutativity plays a key role in modern algebra, contributing to the simplification of many computational processes.

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genitive

nominative plural

genitive plural

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inflection-template

class

nominative singular

nominative plural

genitive singular

genitive plural

dative singular

dative plural

accusative singular

accusative plural

instrumental singular

instrumental plural

prepositional singular

plural prepositional

абелевостей

IPA(Pronunciation)
Noun
form-of genitive plural

属複数形

English Meaning
genitive plural of а́белевость (ábelevostʹ)
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アベリア的性質の構造を理解することは、現代代数学の根本的な側面です。

Understanding the structure of Abelian properties is a fundamental aspect of modern algebra.

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абелевой группы

Noun
form-of genitive singular

genitive singular of а́белева гру́ппа (ábелева grúppa)

English Meaning
genitive singular of а́белева гру́ппа (ábeleva grúppa)
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可換群の構造は現代代数学において重要な役割を果たしています。

The structure of the abelian group plays an important role in modern algebra.

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абелевости

IPA(Pronunciation)
Noun
dative form-of genitive prepositional singular accusative nominative plural

definite accusative singular of а́белевость (ábelevostʹ)

English Meaning
inflection of а́белевость (ábelevostʹ): / inflection of а́белевость (ábelevostʹ):
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会議では群論におけるアーベル性の重要性が議論されました.

At the conference, they discussed the importance of abelianity in group theory.

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