| 极小Urysohn L-fuzy拓扑空间及其性质 |
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| 引用本文： | 孟晗. 极小Urysohn L-fuzy拓扑空间及其性质[J]. 陕西师范大学学报(自然科学版), 1997, 0(3) |
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| 作者姓名： | 孟晗 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 引进了极小ＵｒｙｓｏｈｎＬ－ｆｕｚｙ拓扑空间的概念．利用Ｕｒｙｓｏｈｎ理想基证明了一个Ｌ－ｆｕｚｙ拓扑空间（ＬＸ，δ）是极小Ｕｒｙｓｏｈｎ空间当且仅当（ＬＸ，δ）是ＵｒｙｓｏｈｎＬ－ｆｕｚｙ拓扑空间且ＬＸ上的每一个具有唯一聚点的Ｕｒｙｓｏｈｎ理想基收敛；极小ＵｒｙｓｏｈｎＬ－ｆｕｚｙ拓扑空间是Ｕｒｙｓｏｈｎ闭空间，而且也是Ｌ－ｆｕｚｚｙ半正则空间．最后证明了ＵｒｙｓｏｈｎＬ－ｆｕｚｚｙ极小性是拓扑不变性质．
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| 关 键 词： | L-fuzzy拓扑空间；UrysohnL-fuzzy拓扑空间；Urysohn理想基；UrysohnL-fuzzy闭空间；UrysohnL-fuzzy半正则空间 |
Semigroup characterizations of bounded commutative BCK algebras |
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| Luo Minxia,Huang Wenping. Semigroup characterizations of bounded commutative BCK algebras[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1997, 0(3) |
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| Authors: | Luo Minxia Huang Wenping |
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| Abstract: | The semigroup characterizations of bounded commutative BCK algebras are discussed. It is proved that the adjoint semigroup of a commutative BCK algebra with condition (S) is an upper semilattice and the adjoint semigroup of a bounded commutative BCK algebra is a lattice. |
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| Keywords: | commutative BCK algebra adjoint semigroup upper semilattic lattice |
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