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Examples of chain domains |
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| Authors: | R Mazurek E Roszkowska |
| Institution: | Institute of Mathematics, University of Warsaw, Bialystok Division, Akademicka 2, 15-267 Bialystok, Poland ; Faculty of Economy, University of Warsaw, Bialystok Division, Sosnowa 62, 15-887 Bialystok, Poland |
| 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. |
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