山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (04): 36-41.doi: 10.6040/j.issn.1671-9352.0.2014.482
沈冲, 姚卫
SHEN Chong, YAO Wei
摘要： 以交换单位quantale为取值格,研究了模糊完备格上的模糊G-理想.首先,给出了模糊G-理想的定义,证明了由X×Y上的所有模糊G-理想构成的集合在包含度下是一个模糊完备格. 其次,研究了模糊G-理想和模糊Galois伴随之间的关系,证明了由X×Y上的模糊G-理想构成的模糊完备格与X和Y之间的模糊Galois伴随构成的模糊完备格相互同构.
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