Homorooty in Rings
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.
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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