ملخص
It is known that the connectednesses of topological spaces in the sense of Preuß is the topological analogue of the Kurosh-Amistsur radicals of algebraic structures in a categorical sense. Here this connection is further explored. As in universal algebra, a congruence on a topological space has been defined. It is shown that a connectedness can be characterized in terms of conditions on congruences which are the precise topological analogues of those conditions that characterize the radical classes of rings in terms of ideals.
اللغة الأصلية | English |
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الصفحات (من إلى) | 1757-1772 |
عدد الصفحات | 16 |
دورية | Quaestiones Mathematicae |
مستوى الصوت | 44 |
رقم الإصدار | 12 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 2021 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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