On simple Nil rings and results related to Kothe's conjecture

Abstract: The Kothe Conjecture ( 1930 ) states that R has no nonzero nil ideals then R has no nonzero nil one-sided ideals. We survey some results related to the Kothe conjecture and several assertions equivalent to Kothe’s Conjecture. Over 40 years ago a simple radical ring was constructed by Sasiada. It remained an open question whether a simple nil ring exists. We construct a simple nil algebra over any countable field. We will describe this construction. We mention several open questions on nil rings.

Wednesday, February 19,
Thursday, February 20, and
Friday, February 21, 2003

3:30-5:00 p.m. in
108 McCracken Hall
Athens Campus

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