Volume 6, Issue 1 (Vol. 6, No. 1 2020)                   mmr 2020, 6(1): 139-148 | Back to browse issues page

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Madanshekaf A, Khanjanzadeh Seresti Z. A Hoehnke Radical on the Topos Act-s. mmr 2020; 6 (1) :139-148
URL: http://mmr.khu.ac.ir/article-1-2923-en.html
1- Semnan University , amadanshekaf@semnan.ac.ir
2- Semnan University
Abstract:   (1805 Views)
One of the important concepts in topos theory is the concept of (weak) Lawvere-Tierney topology. A class of (weak) Lawvere topology on the  topos  Act-S of right acts over a  fixed monoid S is ideal topology which has been introduced by the authors in [13]. In this paper we first give some characterizations of sheaves with respect to this kind of topologies. Then, using this topology, we construct a Hoehnke radical on this topos. Finally, we investigate the relationship between the corresponding sheaf to the closure operator obtained from this radical and the corresponding sheaf with respect to the ideal topology../files/site1/files/61/13Abstract.pdf
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Type of Study: Original Manuscript | Subject: alg
Received: 2019/03/3 | Revised: 2020/06/28 | Accepted: 2019/08/17 | Published: 2020/05/21 | ePublished: 2020/05/21

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