NULLSTELLENSATZ FOR RELATIVE EXISTENTIALLY CLOSED GROUPS

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SHAHRYARI MOHAMMAD

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2022 | Volume:11 | Issue:2 Page(s): 125-130

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Information Journal Paper

Title

NULLSTELLENSATZ FOR RELATIVE EXISTENTIALLY CLOSED GROUPS

Author(s)

SHAHRYARI MOHAMMAD | Issue Writer Certificate

Keywords

Algebraic geometry over groups

Nullstellensatz

Existentially closed groups

Varieties of groups

Quasi-varieties

Abstract

We prove that in every variety of G-groups, every G-existentially closed element satis, es nullstellensatz for , nite 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!-compact, they are geometrically equivalent.

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APA: Copy

SHAHRYARI, MOHAMMAD. (2022). NULLSTELLENSATZ FOR RELATIVE EXISTENTIALLY CLOSED GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 11(2), 125-130. SID. https://sid.ir/paper/1004049/en

Vancouver: Copy

SHAHRYARI MOHAMMAD. NULLSTELLENSATZ FOR RELATIVE EXISTENTIALLY CLOSED GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2022;11(2):125-130. Available from: https://sid.ir/paper/1004049/en

IEEE: Copy

MOHAMMAD SHAHRYARI, “NULLSTELLENSATZ FOR RELATIVE EXISTENTIALLY CLOSED GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 11, no. 2, pp. 125–130, 2022, [Online]. Available: https://sid.ir/paper/1004049/en

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