Open Access
July 2022 Assassins and torsion functors II
Fred Rohrer
Author Affiliations +
Hiroshima Math. J. 52(2): 153-175 (July 2022). DOI: 10.32917/h2020095

Abstract

Fairness and centredness of ideals in commutative rings, i.e., the relations between assassins and weak assassins of a module, its small or large torsion submodule, and the corresponding quotients, are studied. General criteria as well as more specific results about idempotent or nil ideals are given, and several examples are presented.

Acknowledgement

I thank the anonymous referee for his suggestions.

Citation

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Fred Rohrer. "Assassins and torsion functors II." Hiroshima Math. J. 52 (2) 153 - 175, July 2022. https://doi.org/10.32917/h2020095

Information

Received: 16 October 2020; Revised: 18 November 2021; Published: July 2022
First available in Project Euclid: 14 July 2022

MathSciNet: MR4452631
zbMATH: 1492.13011
Digital Object Identifier: 10.32917/h2020095

Subjects:
Primary: 13C12
Secondary: 13D30 , 13D45

Keywords: assassin , centredness , fairness , Torsion functor , weak assassin

Rights: Copyright © 2022 Hiroshima University, Mathematics Program

Vol.52 • No. 2 • 2022
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