ملخص
We prove that in every variety of G-groups, every G-existentially closed element satisfies nullstellensatz for finite consistent systems of equations. This will generalize Theorem G of [J. Algebra, 219 (1999) 16–79]. As a result we see that every pair of G-existentially closed elements in an arbitrary variety of G-groups generate the same quasi-variety and if both of them are qω-compact, they are geometrically equivalent.
اللغة الأصلية | English |
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الصفحات (من إلى) | 125-130 |
عدد الصفحات | 6 |
دورية | International Journal of Group Theory |
مستوى الصوت | 11 |
رقم الإصدار | 2 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - يونيو 2022 |
ASJC Scopus subject areas
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