A direct product decomposition of QMV algebras
文献类型：期刊论文
| 作者 | Lu Xian1; Shang Yun1; Lu RuQian2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:4页码:841 |
| 关键词 | QUANTUM MV-ALGEBRAS QMV algebra commutativity idempotent decomposition theorem |
| ISSN号 | 1674-7283 |
| 英文摘要 | We study the direct product decomposition of quantum many-valued algebras (QMV algebras) which generalizes the decomposition theorem of ortholattices (orthomodular lattices). In detail, for an idempotent element of a given QMV algebra, if it commutes with every element of the QMV algebra, it can induce a direct product decomposition of the QMV algebra. At the same time, we introduce the commutant C(S) of a set S in a QMV algebra, and prove that when S consists of idempotent elements, C(S) is a subalgebra of the QMV algebra. This also generalizes the cases of orthomodular lattices. |
| 资助项目 | [National Natural Science Foundation of China] ; [National Basic Research Program of China (973 Program)] |
| 语种 | 英语 |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/35525]  |
| 专题 | 中国科学院计算技术研究所期刊论文_中文 |
| 作者单位 | 1.中国科学院系统科学研究所 2.中国科学院计算技术研究所 |
| 推荐引用方式 GB/T 7714 | Lu Xian,Shang Yun,Lu RuQian. A direct product decomposition of QMV algebras[J]. SCIENCE CHINA-MATHEMATICS,2012,55(4):841. |
| APA | Lu Xian,Shang Yun,&Lu RuQian.(2012).A direct product decomposition of QMV algebras.SCIENCE CHINA-MATHEMATICS,55(4),841. |
| MLA | Lu Xian,et al."A direct product decomposition of QMV algebras".SCIENCE CHINA-MATHEMATICS 55.4(2012):841. |
入库方式： OAI收割
来源：计算技术研究所
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