On base radical and semisimple classes defined by class operators

N R McConnell; Robert G McDougall; T Stokes

doi:10.1007/s10474-012-0249-9

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On base radical and semisimple classes defined by class operators

Journal article

Peer reviewed

On base radical and semisimple classes defined by class operators

N R McConnell, Robert G McDougall and T Stokes

Acta Mathematica Hungarica, Vol.138(4), pp.307-328

2013

DOI: https://doi.org/10.1007/s10474-012-0249-9

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Abstract

Pure Mathematics

radical class

semisimple class

base radical

16N80

17A65

08A05

08C99

By using class operators, we define base radical and semisimple classes, within a broad abstract setting due to Puczylowski. The new notions agree with the usual Kurosh-Amitsur ones for associative rings and groups but differ for not necessarily associative rings, in general lying strictly between the Kurosh-Amitsur and torsion theory notions. A study of the class operators for their own sake is initiated, and a connection with modal logic is made

Details

Title: On base radical and semisimple classes defined by class operators
Authors: N R McConnell (Author) - Department of Defence
Robert G McDougall (Author) - Central Queensland University
T Stokes (Author) - University of Waikato
Publication details: Acta Mathematica Hungarica, Vol.138(4), pp.307-328
Publisher: Akademiai Kiado Rt.
Date published: 2013
DOI: 10.1007/s10474-012-0249-9
ISSN: 0236-5294; 0236-5294
Organisation Unit: School of Science and Engineering - Legacy; School of Science, Technology and Engineering
Language: English
Record Identifier: 99450086202621
Output Type: Journal article

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Collaboration types: Domestic collaboration; International collaboration
Web Of Science research areas: Mathematics