Twists of matrix algebras and Brauer groups

Wen Chen Chi; Ki Seng Tan

doi:10.1016/0022-4049(94)00023-C

Twists of matrix algebras and Brauer groups

Wen Chen Chi^*
, Ki Seng Tan

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.

原文	英語
頁（從 - 到）	111-118
頁數	8
期刊	Journal of Pure and Applied Algebra
卷	98
發行號	2
DOIs	https://doi.org/10.1016/0022-4049(94)00023-C
出版狀態	已發佈 - 1995 1月 27
對外發佈	是

ASJC Scopus subject areas

代數與數理論

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10.1016/0022-4049(94)00023-C

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title = "Twists of matrix algebras and Brauer groups",

abstract = "We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.",

author = "Chi, \{Wen Chen\} and Tan, \{Ki Seng\}",

note = "Funding Information: author. Supported by NSC Grant \#82-0208-M-007-083, Republic of China.",

year = "1995",

month = jan,

day = "27",

doi = "10.1016/0022-4049(94)00023-C",

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AU - Chi, Wen Chen

AU - Tan, Ki Seng

N1 - Funding Information: author. Supported by NSC Grant #82-0208-M-007-083, Republic of China.

PY - 1995/1/27

Y1 - 1995/1/27

N2 - We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.

AB - We study the twists of matrix algebras by some continuous characters which are regarded as 1-cocycles. Using results of Tate and Brauer-Hasse-Noether, we show that the whole Brauer group of a number field can be obtained by such twists of matrix algebras.

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UR - https://www.scopus.com/pages/publications/26244451386#tab=citedBy

U2 - 10.1016/0022-4049(94)00023-C

DO - 10.1016/0022-4049(94)00023-C

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Twists of matrix algebras and Brauer groups

摘要

ASJC Scopus subject areas

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