The computational complexity of module socles

This paper studies the computational complexity of socles of modules from the viewpoint of computability theory. The socle Soc(M) of a module M over a commutative ring R is the sum of all simple submodules of M. Soc(M) plays a vital role in module theory and it is known as the largest semisimple sub...

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Bibliographic Details

Published in:	Annals of pure and applied logic Vol. 173; no. 5; p. 103089
Main Author:	Wu, Huishan
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.05.2022
Subjects:	Computability theory Simple module Socles of modules 68Q15 Computability theory 03D80 68Q17 Socles of modules Simple module 03D15
ISSN:	0168-0072
Online Access:	Get full text
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