Octonion Orthocomplemantable Modules

Ludkowski S. V.

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Octonion Orthocomplemantable Modules

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The article is devoted to investigations of orthocomplementable modules and orthomodular modules over algebras with involution over arbitrary fields. In particular the octonion algebra and alternative algebras are considered. The classification of orthomodular modules over octonions and alternative algebras is described. Conditions are found when a ground field can not be non-archimedean.

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《Advances in applied Clifford algebras》 |2017年第2期|1551-1566|共16页
作者
Ludkowski S. V.;
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作者单位

Moscow State Technol Univ MIREA, Dept Appl Math, Ave Vernadsky 78, Moscow 119454, Russia;

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原文格式 PDF
正文语种英语
中图分类代数、数论、组合理论;
关键词
Module; Algebra; Octonion; Alternative; Orthocomplementable; Orthomodular;

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Octonion Orthocomplemantable Modules

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