ملخص
We show that a semisimple class of rings M satisfies condition (β) (i.e. I ◃ A ◃ M and A2= 0 implies A/I ε M) if and only if the corresponding radical class is hypersolvable or hypo-idempotent. Any radical class R which satisfies condition (F) (i.e. J ◃ I ◃ A and I/J ε R implies J ◃ A) must by hypo-idempotent. If the radical class is regular, the converse is also true. We also give characterizations of the semisimple classes of hypo-idempotent and subidempotent radical classes.
اللغة الأصلية | English |
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الصفحات (من إلى) | 361-370 |
عدد الصفحات | 10 |
دورية | Quaestiones Mathematicae |
مستوى الصوت | 11 |
رقم الإصدار | 4 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 1988 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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