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:: Volume 6, Issue 4 (Vol. 6, No. 4 2021) ::
Mathematical Researches 2021, 6(4): 0-0 Back to browse issues page
Inverse topology in BL-algebras
Fereshteh Forouzesh Dr 1, Farhad Sajadian Dr2, Mahta Bedrood Mis2
1- Higher Education complex of Bam , ffrouzesh@yahoo.com
2- Higher Education complex of Bam
Abstract:   (419 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, Tand 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.
Keywords: minimal prime filter, zariski topology, inverse topology, min-extension.
     
Type of Study: S | Subject: alg
Received: 2017/11/5 | Accepted: 2019/07/16 | Published: 2021/01/29 | ePublished: 2021/01/29
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Forouzesh F, Sajadian F, bedrood M. Inverse topology in BL-algebras. Mathematical Researches. 2021; 6 (4)
URL: http://mmr.khu.ac.ir/article-1-2698-en.html


Volume 6, Issue 4 (Vol. 6, No. 4 2021) Back to browse issues page
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