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Examples of chain domains
Author(s):
R.
Mazurek;
E.
Roszkowska
Journal:
Proc. Amer. Math. Soc.
126
(1998),
661-667.
MSC (1991):
Primary 16D15, 16D25;
Secondary 16N80
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Abstract:
Let  be a nonzero ordinal such that  for every ordinal  . A chain domain  (i.e. a domain with linearly ordered lattices of left ideals and right ideals) is constructed such that  is isomorphic with all its nonzero factor-rings and  is the ordinal type of the set of proper ideals of  . The construction provides answers to some open questions.
References:
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Additional Information:
R.
Mazurek
Affiliation:
Institute of Mathematics, University of Warsaw, Bialystok Division, Akademicka 2, 15-267 Bialystok, Poland
Email:
mazurek@cksr.ac.bialystok.pl
E.
Roszkowska
Affiliation:
Faculty of Economy, University of Warsaw, Bialystok Division, Sosnowa 62, 15-887 Bialystok, Poland
Address at time of publication:
Faculty of Economy, University in Bialystok, Warszawska 63, 15-062 Bialystok, Poland
DOI:
10.1090/S0002-9939-98-04127-6
PII:
S 0002-9939(98)04127-6
Received by editor(s):
December 1, 1995
Received by editor(s) in revised form:
August 27, 1996
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1998,
American Mathematical Society
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