Nullstellensatz for relative existentially closed group
عنوان مقاله: Nullstellensatz for relative existentially closed group
شناسه ملی مقاله: JR_THEGR-11-2_005
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_THEGR-11-2_005
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Mohammad Shahryari - Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman
خلاصه مقاله:
Mohammad Shahryari - Department of Mathematics, College of Science, Sultan Qaboos University, Muscat, Oman
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, ۲۱۹ (۱۹۹۹) ۱۶--۷۹]. 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 q_{\omega}-compact, they are geometrically equivalent.
کلمات کلیدی: Algebraic geometry over groups, Nullstellensatz, Existentially closed groups, Varieties of groups, Quasi-varieties
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1309879/