A Hoehnke Radical on the Topos Act-s

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MADANSHEKAF ALI; Khanjanzadeh Seresti Zeinab

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Journal: MATHEMATICAL RESEARCHES Year:2020 | Volume:6 | Issue:1 Page(s): 139-148

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Information Journal Paper

Title

A Hoehnke Radical on the Topos Act-s

Author(s)

MADANSHEKAF ALI | Khanjanzadeh Seresti Zeinab | Issue Writer Certificate

Keywords

S-actQ1

Ideal closure operatorQ1

Hoehnke (pre)radicalQ1

TorsionQ1

Ideal topologyQ1

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...

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APA: Copy

MADANSHEKAF, ALI, & Khanjanzadeh Seresti, Zeinab. (2020). A Hoehnke Radical on the Topos Act-s. MATHEMATICAL RESEARCHES, 6(1 ), 139-148. SID. https://sid.ir/paper/378331/en

Vancouver: Copy

MADANSHEKAF ALI, Khanjanzadeh Seresti Zeinab. A Hoehnke Radical on the Topos Act-s. MATHEMATICAL RESEARCHES[Internet]. 2020;6(1 ):139-148. Available from: https://sid.ir/paper/378331/en

IEEE: Copy

ALI MADANSHEKAF, and Zeinab Khanjanzadeh Seresti, “A Hoehnke Radical on the Topos Act-s,” MATHEMATICAL RESEARCHES, vol. 6, no. 1 , pp. 139–148, 2020, [Online]. Available: https://sid.ir/paper/378331/en

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