JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 2, Pages 381 - 389
(August 2004)
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CONDITIONS
ON SUPER-PRIMITIVENESS AND ANTI-INTEGRALITY
Kiyoshi Baba (Japan) and Ken-Ichi Yoshida (Japan)
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Abstract: Let R be a
Noetherian domain with quotient field K and
a be an
algebraic element over K. We give some
conditions for a to
be an anti-integral element over R and to
be a super-primitive element over R, respectively. |
Keywords and phrases: generalized denominator
ideal, anti-integral element, super-primitive
element, conductor ideal. |
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