拓扑效应代数的新结果

IF 0.5 Q3 MATHEMATICS

Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI:10.52846/ami.v49i1.1482

S. Saidi Goraghani, R. Borzooei

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引用次数: 0

摘要

本文考虑效应代数的概念，利用效应代数E中的一个新理想，构造了E上的拓扑τ，并证明了(E，τ)是拓扑效应代数。然后我们得到了(E，τ)是Hausdorff空间的一些条件。此外，我们还得到了该拓扑空间中连通分量的一些结果，并构造了一个商拓扑效应代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New results on topological effect algebras

In this paper, by considering the notion of effect algebra and by using of a new ideal in an effect algebra E, we construct a topology τ on E, and we show that (E,τ) is a topological effect algebra. Then we obtain some conditions under which that (E,τ) is a Hausdorff space. Also, we obtain some results about connected components of this topological space, and we construct a quotient topological effect algebra.

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来源期刊

Annals of the University of Craiova-Mathematics and Computer Science Series MATHEMATICS-

CiteScore

1.10

自引率

10.00%

发文量