相对存在闭群的null

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2021-05-20 DOI:10.22108/IJGT.2021.125453.1652

M. Shahryari

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引用次数: 0

摘要

我们证明了在每一个$G$-群中‎, ‎有限相容方程组的每一个$G$存在闭元满足nulstellensz‎. ‎这将推广[J的定理G‎. ‎代数，219（1999）‎16-79]‎. ‎因此，我们看到任意种类的$G$-群中的每一对$G$存在闭元素都产生相同的拟变化，并且如果它们都是$q_{omega}$紧的‎, ‎它们在几何上是等价的‎.

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Nullstellensatz for relative existentially closed groups

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 $q_{omega}$-compact‎, ‎they are geometrically equivalent‎.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.