JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 3, Pages 365 - 371
(December 2003)
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A
CONDITION FOR R[a,
b]
= R[a,
a–1]
WITH A LINEAR RACTIONAL
TRANSFORM b
OF
AN ANTI-INTEGRAL ELEMENT a
Kiyoshi Baba (Japan) and Ken-Ichi Yoshida (Japan)
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Abstract: Let a
be a non-zero anti-integral element over an
integral domain R.
Let b
be a linear fractional transform of a
, that is,
where
is the group of units of R. In this
paper, we give a condition for
to coincide with
in terms of a, b and generalized
denominator ideals
and |
Keywords and phrases: generalized
denominator ideal, linear fractional transform, anti-integral extension, Laurent extension. |
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