JP Journal of Algebra, Number Theory and Applications
Volume 1, Issue 1, Pages 41 - 45
(April 2001)
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EXTENSIONS
AND
ARE EQUAL FOR ANY TRANSFORMATION
OF AN ANTI-INTEGRAL ELEMENT a
WITH
Susumu Oda (Japan) and Ken-Ichi Yoshida (Japan)
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Abstract: Let R be an integral
domain and a be an
anti-integral element over R. Let
with
and
We prove that b is
anti-integral over R and that the
equality
holds. |
Keywords and phrases: integral domains,
anti-integral elements. |
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