JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 1, Pages 153 - 158
(April 2004)
|
|
CRITERIA
FOR ANTI-INTEGRALITY AND SUPER- PRIMITIVE- NESS
Kiyoshi Baba (Japan) and Ken-Ichi-Yoshida (Japan)
|
Abstract: Let
R be a
Noetherian domain with quotient field K
and a be
an algebraic element over K.
We give a criterion for a
to
be a super-primitive element over R in Theorem 5. We also give a criterion for a
to be an anti-integral element over R
in Theorem 7. Anti-integrality and
super-primitiveness are characterized by prime
divisors of the conductor ideal of the integral
closure of R over R. |
Keywords and phrases: generalized
denominator ideal, anti-integral element, super-primitive
element, conductor ideal. |
|
Number of Downloads: 13 | Number of Views: 1537 |
|