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In this paper, we study the strongly Hopfian property in the ring of formal power series in infinitely many variables over chained rings, nonzero characteristic rings and SFT-rings. We investigate the notion of power series Armendariz rings in infinitely many variables and its application to the strongly Hopfian property.

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Strongly Hopfian Rings of Formal Power Series and Power Series Armendariz Rings in Infinitely Many Variables

  • 会议论文

  • 发表日期：

    2025年

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  • Ali Benhissi

摘要

In this paper, we study the strongly Hopfian property in the ring of formal power series in infinitely many variables over chained rings, nonzero characteristic rings and SFT-rings. We investigate the notion of power series Armendariz rings in infinitely many variables and its application to the strongly Hopfian property.