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1)  Semi-regularization
半正则化
1.
It is proved that they have regular homeomorphic properties and topological properties,and that T rci separation is equivalent to separation Ti in semi-regularization of LF topological spaces.
利用正则闭集概念在LF拓扑空间中引入了正则闭分离性Tirc(i=1,2)概念,给出了它们的刻画,证明了正则闭Tirc(i=1,2)分离性为正则同胚性质和拓扑性质,在LF拓扑空间的半正则化中Tirc分离性与Ti分离性是等价的。
2.
It is proved that they are topological properties and that they are equivalent to the regular(normal) separation in semi-regularization.
利用正则闭集概念在LF拓扑空间中引入RC-正则(正规)分离性概念,给出了它们的刻画,并利用广义Zadeh型函数证明了它们是LF拓扑性质,在LF拓扑空间的半正则化中RC-正则(正规)分离性与正则(正规)分离性是等价的。
3.
It is proved that they are LF topological properties and that they are equivalent to the strong T separation in semi-regularization.
利用正则闭集概念在LF拓扑空间中引入了强正则闭分离性(分离性)概念,给出了它们的刻画,并证明了它们是LF拓扑性质,在LF拓扑空间的半正则化中的强正则闭分离性与加强了的T分离性是等价的。
2)  semiregularization
半正则化
1.
Let(L,η ) is a symmetric topological molecular lettice and η  is complement topology generated by a closed base consisting of regular closed elements in (L,η ),then (L,η  )is called a semiregularization of (L,η ).
设(L,η)是对称拓扑分子格,η是由(L,η)中正则闭元作为闭基所生成的余拓扑,则称(L,η)为(L,η)的半正则化
2.
In this paper,the concept of θ-compact space characterized in terms of special cover and filter is given,properties of semiregularization of θ-compact space and θ-continuous mapping are discussed,and it is proved that a product of a compact spaceand a Hausdorff θ-compact space is θ-compact.
本文给出了θ-紧空间的概念,并用特殊的复盖和滤子加以刻划,讨论了θ-紧空间的半正则化和θ-连续映射,证明了紧与Hausdorffθ-紧空间的积空间是θ-紧的。
3)  degenerate regularized semigroup
退化正则半群
1.
In this paper we introduce the concept of degenerate regularized semigroups, and give some basic properties of degenerate regularized semigroups, as well as generation theorems of exponentially bounded degenerate regularized semigroups by using multivalued linear operators.
 引入了退化正则半群的定义,给出退化正则半群的一些基本性质,并证明了用多值线性算子刻划的指数有界退化正则半群的生成定理。
4)  semi-regularization spaces
半正则化空间
5)  regularized semivariogram
正则化半方差图
6)  regular semigroup
正则半群
1.
Certain subsemigroups of regular semigroups with an inverse transversal;
具有逆断面的正则半群的一些子半群
2.
Construction of regular semigroups with orthodox transversals;
具有纯正断面的正则半群的构造
3.
The natrual partial order on a regular semigroup with a Q-regular~*-transversal;
具有Q-正则~*-断面的正则半群的自然偏序
补充资料:完全正则半群


完全正则半群
completely - regular semi - group

完全正则半群【。扣lple城y一代gular semi一g娜p;.n,班业PeryJ.P一翻no几y印ynna」 同01场班d半群(Clifford sem卜grouP).
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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