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Browsing College of Arts & Sciences by Author "Demetre, Andy"

Now showing items 1-2 of 2

    • A Note on Nilpotent Elements in Quaternion Rings over Zp 

      Aristidou, Michael; Demetre, Andy (2012)
      In this paper, we discuss nilpotent elements in the finite ring H/Zp. We provide examples and we establish conditions for nilpotency in H/ Zp. We also comment on the number of nilpotent elements.

    • Idempotent Elements in Quaternion Rings over Zp 

      Aristidou, Michael; Demetre, Andy (2012)
      In this paper, we discuss idempotent elements in the finite ring H/ Zp. The number of idempotents in H/Zp was found recently in [4]. We provide examples and we establish conditions for idempotency in H/Zp. Mathematics ...