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幂等余Quantale

The indempotent coquantale
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摘要 讨论了幂等余Quantale与左纯元、子余Quantale的一些相关性质,发现幂等余Quantale的左纯元构成的集合是对应的子余Quantale;每个幂等余Quantale都可有一个核映射与子余Quantale保持对应关系;并且幂等余Quantale与核映射,左右纯元,Frame等都有一定关系. In this article, the related properties between coquantale and left pure unit are discussed, and some related properties of idempotent coquantale and subcoquantale are too. The left pure unit set of idemponent coquantale is corresponding subcoquantale. Every idempotent coquantale has one nuclear mapping to subco- quantale. Also the idempotent coquantale have some relations to nuclear mapping, left and right pure unit, and frame etc.
作者 赵增逊
出处 《纯粹数学与应用数学》 CSCD 2013年第3期282-286,共5页 Pure and Applied Mathematics
基金 国家自然科学基金(111712717)
关键词 QUANTALE 子余Quantale 幂等余Quantale Quantale, subcoquantale, idempotent coquantale
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参考文献7

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二级参考文献5

  • 1Rosenthal K I. Quantales and Their Applications[M]. Harlow Essex: Longman Scientific and Technical, 1990.
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  • 4David K. Points of Quantales[M]. Brno: cerven, 2002.
  • 5Karazeris P. Gabriel topologies on coherent quantales[J]. J. Pure Appl. Alg., 1998,127:177-192.

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