Volume 9, Issue 2 (9-2023)
mmr 2023, 9(2): 190-197 |
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Rezaei G, Jamalzadeh J. A topology on a Special paragroup and its completion. mmr 2023; 9 (2) :190-197
URL: http://mmr.khu.ac.ir/article-1-3102-en.html
URL: http://mmr.khu.ac.ir/article-1-3102-en.html
1- University of Sistan and Baluchestan , grezaei@math.usb.ac.ir
2- University of Sistan and Baluchestan
2- University of Sistan and Baluchestan
Abstract: (446 Views)
In this paper, we consider a collection ℵ of normal subgroups with closed finite intersection property of a group G. We define a uniformity on the Rees matrix semigroup S from G. So, we study the topological properties of this uniform topology. In particular, we show that if the normal subgroups are closed arbitrary intersection property, then the uniformity is compelete. Finally, if normal subgroups are closed finite intersection property, then we construct a completion.
Type of Study: Original Manuscript |
Subject:
Mat
Received: 2020/06/27 | Revised: 2024/02/17 | Accepted: 2022/02/14 | Published: 2023/12/3 | ePublished: 2023/12/3
Received: 2020/06/27 | Revised: 2024/02/17 | Accepted: 2022/02/14 | Published: 2023/12/3 | ePublished: 2023/12/3
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