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mmr 2020, 6(4): 631-644 |
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Forouzesh F, Sajadian F, bedrood M. Inverse topology in BL-algebras. mmr 2020; 6 (4) :631-644
URL: http://mmr.khu.ac.ir/article-1-2698-en.html
URL: http://mmr.khu.ac.ir/article-1-2698-en.html
1- Higher Education complex of Bam , ffrouzesh@yahoo.com
2- Higher Education complex of Bam
3- Dept. of Math. Shahid Bahonar university of Kerman.
2- Higher Education complex of Bam
3- Dept. of Math. Shahid Bahonar university of Kerman.
Abstract: (2526 Views)
In this paper, we introduce Inverse topology in a BL-algebra A and prove the set of all minimal prime filters of A, namely Min(A) with the Inverse topology is a compact space, Hausdorff, T0 and T1-Space. Then, we show that Zariski topology on Min(A) is finer than the Inverse topology on Min(A). Then, we investigate what conditions may result in the equivalence of these two topologies. Finally, we define min-extension in BL-algebra and show that the mapping on Min(A) with respect to both the Zariski and the Inverse topology is continuous../files/site1/files/64/13.pdf
Type of Study: S |
Subject:
alg
Received: 2017/11/5 | Revised: 2021/03/9 | Accepted: 2019/07/16 | Published: 2021/01/29 | ePublished: 2021/01/29
Received: 2017/11/5 | Revised: 2021/03/9 | Accepted: 2019/07/16 | Published: 2021/01/29 | ePublished: 2021/01/29
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