Year: 2020
Type: article
Abstract: 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
Source: Mathematical Researches
DOI: 10.52547/mmr.6.1.139
Institution: Semnan University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3045354536