Classical quotient rings of PWD's
Author:
Robert Gordon
Journal:
Proc. Amer. Math. Soc. 36 (1972), 3946
MSC:
Primary 16A08
MathSciNet review:
0309983
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Abstract: Piecewise domains which are right orders in semiprimary rings are characterized. An example is given showing the result obtained is ``best possible". A further example is obtained of a prime right Goldie ring possessing a regular element which becomes a left zero divisor in some prime overring. This example leads to the construction of a PWD R not satisfying the regularity condition, but for which is right Goldie.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939197203099834
PII:
S 00029939(1972)03099834
Keywords:
Piecewise domain,
essentiality condition,
exhaustive set,
order,
classical quotient ring,
Goldie ring,
principal right ideals projective,
torsionfree,
left regularity condition,
Ore domain,
linear equations
Article copyright:
© Copyright 1972
American Mathematical Society
