意味 | 例文 (1件) |
Commutative algebraとは 意味・読み方・使い方
追加できません
(登録数上限)
意味・対訳 可換代数
「Commutative algebra」の部分一致の例文検索結果
該当件数 : 1件
An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated.例文帳に追加
体k上のアフィン代数群とは、k上の可換多元環の圏から群の圏への表現可能な共変関手で、有限生成な多元環によって表現される。 - Tatoeba例文
-
履歴機能過去に調べた
単語を確認! -
語彙力診断診断回数が
増える! -
マイ単語帳便利な
学習機能付き! -
マイ例文帳文章で
単語を理解!
Wiktionary英語版での「Commutative algebra」の意味 |
commutative algebra
名詞
commutative algebra (countable かつ uncountable, 複数形 commutative algebras)
- (mathematics) The branch of algebra concerned with commutative rings and objects related to them (such as ideals かつ modules).
- 1992, R. Keith Dennis, Claudio Pedrini, Michael R. Stein (editors), Algebraic K-theory, Commutative Algebra, and Algebraic Geometry: Proceedings of the Joint Seminar, American Mathematical Society.
- 1992, Cornelius Greither, Cyclic Galois Extensions of Commutative Rings, Springer, page vii,
- 2003, Ragnar-Olaf Buchweitz, Morita contexts, idempotents, and Hochschild cohomology — with applications to invariant rings, Luchezar L. Avramov, Marcel Morales, Marc Chardin, Claudia Polini (editors), Commutative Algebra: Interactions with Algebraic Geometry: International Conference, American Mathematical Society, page 27,
- It is not until section 7 that we deal with commutative algebra proper, whereas the sections leading up to it should be seen as advocacy that excursions into noncommutative algebra can help to shed light on problems in commutative algebra.
- (algebra) Any algebra (mathematical structure) in which the multiplication operation is commutative.
- 1907, James Byrnie Shaw, Synopsis of Linear Associative Algebra, Carnegie Institution of Washington, page 46,
- Theorem. If the complex of the linearly independent numbers of the form be deleted from an algebra, the remaining numbers form a commutative algebra.
- 2010, M. Loaiza, A. Sánchez-Numgaray, On C*-Algebras of Super Toeplitz Operators with Radial Symbols, Roland V. Duduchava, Israel Gohberg, Sergei M. Grudsky, Vladimir Rabinovich (editors), Recent Trends in Toeplitz and Pseudodifferential Operators, Springer, page 175,
- The existence of commutative algebras of Toeplitz operators is not usual, for example there are not non trivial commutative algebras of Toeplitz operators acting on the Hardy space.
- 2017, Benoit Fresse, Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2, American Mathematical Society, page 163,
- 1907, James Byrnie Shaw, Synopsis of Linear Associative Algebra, Carnegie Institution of Washington, page 46,
同意語
- (algebra which has a commutative multiplication operation): Abelian algebra
Further reading
- Associative algebra on Wikipedia.
- Glossary of commutative algebra on Wikipedia.
- List of commutative algebra topics on Wikipedia.
- Commutative algebra on Encyclopedia of Mathematics
- Commutative Algebra on Wolfram MathWorld
意味 | 例文 (1件) |
|
Commutative algebraのページの著作権
英和・和英辞典
情報提供元は
参加元一覧
にて確認できます。
All Rights Reserved, Copyright © Japan Science and Technology Agency | |
Copyright © 2024 Cross Language Inc. All Right Reserved. | |
Text is available under Creative Commons Attribution-ShareAlike (CC-BY-SA) and/or GNU Free Documentation License (GFDL). Weblio英和・和英辞典に掲載されている「Wiktionary英語版」の記事は、Wiktionaryのcommutative algebra (改訂履歴)の記事を複製、再配布したものにあたり、Creative Commons Attribution-ShareAlike (CC-BY-SA)もしくはGNU Free Documentation Licenseというライセンスの下で提供されています。 |
ピン留めアイコンをクリックすると単語とその意味を画面の右側に残しておくことができます。 |
ログイン |
Weblio会員(無料)になると 検索履歴を保存できる! 語彙力診断の実施回数増加! |
-
1believe
-
2vapid
-
3iris
-
4sphery
-
5while
-
6rendezvous
-
7appreciate
-
8test
-
9consider
-
10provide
「Commutative algebra」のお隣キーワード |
weblioのその他のサービス
ログイン |
Weblio会員(無料)になると 検索履歴を保存できる! 語彙力診断の実施回数増加! |