Jordan Isomorphisms of Prime Rings with characteristic 2

碩士 === 國立中山大學 === 應用數學系研究所 === 102 === Let F be a field with char(F) = 2, and let ϕ : M_n(F) → M_n(F) be a Jordan isomorphism. We prove that if ϕ is F-linear and n = 2, then ϕ is either an isomorphism or an anti-isomorphism, and it is not true if ϕ is not F-linear for all n ≥ 2....

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Main Authors:	Hsuan Hsieh, 謝瑄
Other Authors:	Tsai-Lien Wong
Format:	Others
Language:	en_US
Published:	2014
Online Access:	http://ndltd.ncl.edu.tw/handle/77801084362420409865

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spelling	ndltd-TW-102NSYS55070822017-04-23T04:27:02Z http://ndltd.ncl.edu.tw/handle/77801084362420409865 Jordan Isomorphisms of Prime Rings with characteristic 2 特徵數為2之質環上的Jordan同構 Hsuan Hsieh 謝瑄碩士國立中山大學應用數學系研究所 102 Let F be a field with char(F) = 2, and let ϕ : M_n(F) → M_n(F) be a Jordan isomorphism. We prove that if ϕ is F-linear and n = 2, then ϕ is either an isomorphism or an anti-isomorphism, and it is not true if ϕ is not F-linear for all n ≥ 2. Tsai-Lien Wong 王彩蓮 2014 學位論文 ; thesis 23 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中山大學 === 應用數學系研究所 === 102 === Let F be a field with char(F) = 2, and let ϕ : M_n(F) → M_n(F) be a Jordan isomorphism. We prove that if ϕ is F-linear and n = 2, then ϕ is either an isomorphism or an anti-isomorphism, and it is not true if ϕ is not F-linear for all n ≥ 2.
author2	Tsai-Lien Wong
author_facet	Tsai-Lien Wong Hsuan Hsieh 謝瑄
author	Hsuan Hsieh 謝瑄
spellingShingle	Hsuan Hsieh 謝瑄 Jordan Isomorphisms of Prime Rings with characteristic 2
author_sort	Hsuan Hsieh
title	Jordan Isomorphisms of Prime Rings with characteristic 2
title_short	Jordan Isomorphisms of Prime Rings with characteristic 2
title_full	Jordan Isomorphisms of Prime Rings with characteristic 2
title_fullStr	Jordan Isomorphisms of Prime Rings with characteristic 2
title_full_unstemmed	Jordan Isomorphisms of Prime Rings with characteristic 2
title_sort	jordan isomorphisms of prime rings with characteristic 2
publishDate	2014
url	http://ndltd.ncl.edu.tw/handle/77801084362420409865
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Jordan Isomorphisms of Prime Rings with characteristic 2

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