Homorooty in Rings

Authors

  • Mohammad Hadi Hooshmand
  • Reza Poorjafary

DOI:

https://doi.org/10.30495/jme.v0i0.402

Abstract

The topic of ”Homorooty” (for integer numbers) has been
introduced and studied in [2]. There are some applications of the homorooty
in studying and solving some Diophantine equations and systems,
as an interesting and useful elementary method. As a continuation of
the Homorooty, we consider it for arbitrary rings and will study its properties
in different rings, especially UFD and homorooty rings (which will
be introduced). At last we shall state some applications of homorooty
in studying some equations over homorooty rings.

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Published

2015-07-30

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 1, (2010)

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