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可換環論・環論・表現論（高橋 亮）
Showing the original Japanese · View translation
可換環の加群圏の構造を、部分圏や三角圏から調べる研究。
AboutAbout the lab
可換環の加群全体の構造を理解する。
高橋亮先生は、
可換環論は、
先生は、
可換Noether環、とくに
Key terms
- 可換環
- 足し算と
掛け算が でき、 掛け算の 順番を 入れ替えても 結果が 変わらない 数の 体系。 整数や 多項式が その 例 - 表現論
- 抽象的な
代数の 構造を、 行列や 加群のような 具体的な ものへの 働きと して 表して 調べる 分野 - 三角圏
- 導来圏などに
備わる、 対象どうしの 関係を 「三角形」の 形で 捉える 構造を もった 圏
ResearchResearch themes
可換Noether環、とくに
MembersFaculty
- Professor高橋 亮
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 可換環論・環論・表現論（高橋 亮）
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環論・The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Tensor product of algebras” Jakob.scholbach / CC BY-SA 4.0 (cropped)
- 加群圏の
構造と 部分圏の 分類: “Hasse Diagram of Subgroup Lattice of D4” Spamakin / CC0 (cropped) - Related lab (組合せ論・
表現論 （岡田 聡一） ): “Line in combinatorics” Tensorproduct / CC BY-SA 4.0 (cropped) - Related lab (代数幾何
（石井 亮） ): “Surface of degree 7” Jean Constant / CC BY-SA 4.0 (cropped) - Related lab (表現論・
無限可積分系 （林 孝宏） ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped) - Related lab (環論・
表現論 （塚本 真由） ): “Combined group axiom commutative diagram” Struoc / CC BY-SA 4.0 (cropped)
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