Strict radical classes of associative rings

Stewart, Patrick N.

doi:10.1090/S0002-9939-1973-0313296-5

Strict radical classes of associative rings
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Proc. Amer. Math. Soc. 39 (1973), 273-278 Request permission

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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