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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Strict radical classes of associative rings


Author: Patrick N. Stewart
Journal: Proc. Amer. Math. Soc. 39 (1973), 273-278
MSC: Primary 16A21
DOI: https://doi.org/10.1090/S0002-9939-1973-0313296-5
MathSciNet review: 0313296
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Abstract: A class of rings is strongly hereditary if it is closed under taking subrings. Strict radical classes (that is, radical classes for which the class of semisimple rings is strongly hereditary) are studied, strongly hereditary strict radical classes are classified, and it is shown that the category of associative rings has no proper localizing subcategories in the sense of Šul'geĭfer.


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DOI: https://doi.org/10.1090/S0002-9939-1973-0313296-5
Keywords: Radical class, strict radical class, strongly hereditary radical class, localizing subcategory
Article copyright: © Copyright 1973 American Mathematical Society