| 拓扑分子格上的几乎连续和ο-连续序同态 |
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| 引用本文： | 白世忠.拓扑分子格上的几乎连续和ο-连续序同态[J].陕西师范大学学报,1991(1). |
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| 作者姓名： | 白世忠 |
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| 作者单位： | 延安大学数学系 |
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| 摘 要： | 1 几乎连续、几乎开(闭)序同态的特征性质定义1 设f:(L_1(M_1),δ_1)→(L_2(M_2),δ_2)是序同态,a∈M_1,若Q∈η_2(f(a)),f~(-1)(Q°~-)∈η_1(a),(其中η_1(a)表示口的一切远域之集),则称f在分子a处几乎连续。定义2 设L(M)是拓扑分子格,S={S(n),n∈D}是分子网,a∈M,S叫做几乎收敛于a,若P∈μ(a),S(n)不≤P°~-最终成立。
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Almost continuous and O-continuous order-homomorphisms in topological molecular lattice |
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| Bai Shizhong.Almost continuous and O-continuous order-homomorphisms in topological molecular lattice[J].Journal of Shaanxi Normal University: Nat Sci Ed,1991(1). |
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| Authors: | Bai Shizhong |
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| Abstract: | Some new characteristic properties of the almost continuous, almost open and almost closed order-homomorphisms in topological molecular lattice are first given. Then the concept of O-continuous order-homomorphism on topological molecular lattice is given. And its characteristic properties and the relations between it and some other order-homomorphisms are also studied. |
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| Keywords: | topological molecular lattices semiopen elements regular open elements almost continuous order-homomorphisms O-continuous order-homomorphisms |
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