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L-半格的性质
引用本文:曾志宣,罗从文.L-半格的性质[J].三峡大学学报(自然科学版),2009,31(2):103-109.
作者姓名:曾志宣  罗从文
作者单位:三峡大学,理学院,湖北,宜昌,443002
摘    要:格作用在半格上得到L-半格,它有自己特有的结构和性质.本文主要讨论了具有最大元的格作用在半格上得到的L-半格的分解性和平坦性.同时,还介绍了L-半格的同余关系、余直积以及张量积的一些性质.

关 键 词:L-半格同余  L-半格分解  张量积  平坦性

Properties of L- Semilattice
Zeng Zhixuan,Luo Congwen.Properties of L- Semilattice[J].Journal of China Three Gorges University(Natural Sciences),2009,31(2):103-109.
Authors:Zeng Zhixuan  Luo Congwen
Institution:Zeng Zhixuan Luo Congwen (College of Science, China Three Gorges Univ. , Yichang 443002, China)
Abstract:A L-semilattice is produced when a lattice acts on a semilattice; it has its own particular properties. The decomposation and flatness of a L-semilattice when the lattice L has a greatest element are discussed primarily. Meanwhile, some properties of the congruent relation, the coproduct, and the tensor product of a L-semilattice, are discribed too.
Keywords:congruence of L-semilattice  decomposation of L-semilattice  tensor products  flatness
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