张娟娟, 李映辉, 赵宪钟. 矩形Clifford半环的性质与结构[J]. 云南大学学报(自然科学版), 2008, 30(4): 338-343.
引用本文: 张娟娟, 李映辉, 赵宪钟. 矩形Clifford半环的性质与结构[J]. 云南大学学报(自然科学版), 2008, 30(4): 338-343.
ZHANG Juan-juan, LI Ying-hui, ZHAO Xian-zhong. The property and structure of rectangular Clifford semiring[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(4): 338-343.
Citation: ZHANG Juan-juan, LI Ying-hui, ZHAO Xian-zhong. The property and structure of rectangular Clifford semiring[J]. Journal of Yunnan University: Natural Sciences Edition, 2008, 30(4): 338-343.

矩形Clifford半环的性质与结构

The property and structure of rectangular Clifford semiring

  • 摘要: 利用带半环的概念,将左环与左Clifford半环进行推广引入了矩形环与矩形Clifford半环的概念.给出了矩形环和矩形Clifford半环的刻画,得到了在一定条件下矩形Clifford半环的织积分解,并得到了矩形Clif-ford半环是矩形环的强分配格的充分必要条件.

     

    Abstract: By using the concept of band semiring,the concepts of rectangular Clifford ring and rectangular semiring are introduced extending left Clifflrd ring and left semiring.Characterizations of rectangular Clifford ring and rectangularsemiring are given and under certain conditions the spined product decomposition of rectangular Clifford semiring is obtained.Further,the necessary and sufficient condition that rectangular semiring is a strong distributive lattice of rectangular ring is got.

     

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