Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors
Description:
This dissertation focuses on the significance of containment relations between the above mentioned classes of ideals. The main problem considered in Chapter II is determining conditions which lead a ring to be a P-ring, D-ring, or AM-ring when every regular ideal is a P-ideal, D-ideal, or AM-ideal, respectively. We also consider containment relations between classes of regular ideals which guarantee that the ring is a quasi-valuation ring. We continue this study into the third chapter; in parti…
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Date:
May 1987
Creator:
Race, Denise T. (Denise Tatsch)