VON NEUMANN REGULAR RINGS WITH COMPARABILITIES
VON NEUMANN REGULAR RINGS WITH COMPARABILITIES
具有可比性的冯诺依曼常规环
批准号：
21540041
负责人：
KUTAMI Mamoru
金额：
$1.58万
依托单位：
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2009
资助国家：
日本
项目状态：
已结题
起止时间：
2009 至 2011
中文摘要
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英文摘要
The study of von Neumann regular rings was first begun from the study of commutative von Neumann regular rings and the study of continuous von Neumann regular rings which contain self-injective von Neumann regular rings. Recently, the investigation of von Neumann regular rings with comparabilities has been proceeded by many ring theorists. Historically, the main themes for studies of von Neumann regular rings are the investigations of finiteness, characteristics and constructions. In this research, we investigated finiteness, hereditarity to matrix rings, cancellations and constructions on von Neumann regular rings with various comparabilities, to construct the theory of von Neumann regular rings with comparabilities.
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会议论文
Von Neumann regular rings with generalized almost comparability
具有广义几乎可比性的冯诺依曼正则环
具有广义几乎可比性的冯诺依曼正则环
DOI：
--
发表时间：
2011
期刊：
影响因子：
--
作者：
[Maxim, Laurentiu; Saito, Morihiko; Schurmann, Jorg, 木村俊一, Mamoru Kutami]
通讯作者：
Mamoru Kutami
Almost comparability and related comparabilities in von Neumann regular rings
冯·诺依曼正则环中的几乎可比性和相关可比性
冯·诺依曼正则环中的几乎可比性和相关可比性
DOI：
--
发表时间：
2010
期刊：
Proceeedings of the 42nd Symposium on Ring Theory and Representation Theory
影响因子：
--
作者：
[田端亮, 木材俊一, Shun-ichi Kimura, Hideto Asashiba, 木村俊一, S. Kimura, Shun-ichi Kimura, 木村俊一, 木村俊一, 木村俊一, 浅芝秀人, Mamoru Kutami]
通讯作者：
Mamoru Kutami
Studies of the finiteness and the comparability for regular rings
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批准号：11640031
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项目类别：Grant-in-Aid for Scientific Research (C)
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资助金额：$1.98万
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财政年份：1999
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负责人：KUTAMI Mamoru
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依托单位：
The study of the finiteness for regular rings
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批准号：09640042
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项目类别：Grant-in-Aid for Scientific Research (C)
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资助金额：$1.54万
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财政年份：1997
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负责人：KUTAMI Mamoru
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依托单位：