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:: Volume 6, Issue 1 (Vol. 6, No. 1 2020) ::
Mathematical Researches 2020, 6(1): 139-148 Back to browse issues page
A Hoehnke Radical on the Topos Act-s
Ali Madanshekaf Dr. 1, Zeinab Khanjanzadeh Seresti Dr.2
1- Semnan University , amadanshekaf@semnan.ac.ir
2- Semnan University
Abstract:   (173 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
Keywords: S-act, Ideal closure operator, Hoehnke (pre)radical, Torsion, Ideal topology.
Full-Text [PDF 655 kb]   (46 Downloads)    
Type of Study: Original Manuscript | Subject: alg
Received: 2019/03/3 | Accepted: 2019/08/17 | Published: 2020/05/21 | ePublished: 2020/05/21
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Madanshekaf A, Khanjanzadeh Seresti Z. A Hoehnke Radical on the Topos Act-s. Mathematical Researches. 2020; 6 (1) :139-148
URL: http://mmr.khu.ac.ir/article-1-2923-en.html

Volume 6, Issue 1 (Vol. 6, No. 1 2020) Back to browse issues page
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