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具有正基的偏序线性代数的结构和幂等元

Research on Partially Ordered Linear Algebras with Positive Bases
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摘要 引入了具有正基的偏序线性代数的概念,并证明了任意n维偏序线性代数都同构于F?n.最后,刻画了这类偏序线性代数的所有幂等元. In the thesis,we introduce the concept of partially ordered linear algebras with positive bases,then characterize their structures and prove that they are all isomorphic to.Finally,we characterize all the idempotent of partially ordered linear algebras with positive bases.
作者 陈全国
出处 《伊犁师范学院学报(自然科学版)》 2010年第4期1-3,共3页 Journal of Yili Normal University:Natural Science Edition
关键词 正基 偏序 幂等元 positive bases partially ordered idempotent
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参考文献4

  • 1T. Dai. On some special claaes of Partially ordered linear algebras[J]. J. Math. Anal. Appl., 1972, 40: 649-682.
  • 2R. E. DeMarr. On partially ordered operator algebras [J]. Can. J. Math., 1967, 196: 636-643.
  • 3A. L. Peressini. Ordered topological vector spaces [M]. Harper and Row, New York, 1967.
  • 4G. Birkhoff. Lattice theory [M]. Colloquium Publications, Providence, R.I., 1967.

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