On the equationally Artinian groups

M. Shahryari; J. Tayyebi

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arXiv · 1803.04681

On the equationally Artinian groups

M. Shahryari·J. Tayyebi

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Abstract

In this article, we study the property of being equationally Artinian in groups. We prove that a finite extension of an equationally Artinian group is again equationally Artinian. We also show that a quotient of an equationally Artinian group of the form $G[t]$ by a normal subgroup which is a finite union of radicals, is again equationally Artnian. This provides a large class of examples of equationally Artinian groups.

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BibTeX RIS

M. Shahryari, J. Tayyebi. 2018-03-13. On the equationally Artinian groups. https://arxiv.org/abs/1803.04681

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