ملخص
In this paper we show that the definition and construction of radical and semisimple classes of associative rings can be interpreted in a general category K in terms of two subclasses of epimorphisms and mono-morphisms. We also provide answers to the following two questions posed by Wiegandt: 1. Which objects should be excluded when defining radical and semisimple classes? 2. Given a concrete category, what should the relationship be between the objects used in defining radical and semisimple classes?. AMS(MOS) codes: 18E40, 16A21.
اللغة الأصلية | English |
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الصفحات (من إلى) | 205-220 |
عدد الصفحات | 16 |
دورية | Quaestiones Mathematicae |
مستوى الصوت | 4 |
رقم الإصدار | 3 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يناير 1 1981 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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