|
|
|
|
nullstellensatz for relative existentially closed groups
|
|
|
|
|
|
|
|
نویسنده
|
shahryari mohammad
|
|
منبع
|
international journal of group theory - 2022 - دوره : 11 - شماره : 2 - صفحه:125 -130
|
|
چکیده
|
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.
|
|
کلیدواژه
|
algebraic geometry over groups ,nullstellensatz ,existentially closed groups ,varieties of groups ,quasi-varieties
|
|
آدرس
|
sultan qaboos university, college of science, department of mathematics, oman
|
|
پست الکترونیکی
|
m.ghalehlar@squ.edu.om
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|