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Algebras that are nearly associative

Algebras that are nearly associative
近结合代数
批准号:
153128-2011
负责人:
Bremner, Murray
金额:
$0.8万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2013
资助国家:
加拿大
项目状态:
已结题
起止时间:
2013-01-01 至 2014-12-31

项目摘要

项目成果

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中文摘要
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英文摘要
The theory of algebraic structures originated in the middle of the 1800's. The field of real numbers had already been extended to include the square root of -1, and this produced the field of complex numbers. Both of these systems satisfy commutativity, ab = ba, and associativity, (ab)c = a(bc). The complex numbers (2-dimensional over the real numbers) were then extended to the quaternions (4-dimensional) which are not commutative. The quaternions were then extended to the octonions (8-dimensional) which are not associative. Properties such as commutativity and associativity are known as polynomial identities for algebras.
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  • 项目类别:
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  • 资助金额:
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  • 项目类别:
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  • 资助金额:
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  • 财政年份:
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  • 负责人:
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  • 依托单位:
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