Abstract
Few years ago Agata Smoktunowicz (Poland) solved one of the most famous problems of the associative rings theory, namely the problem of the existence of a simple nil ring (see [Smok99]). She proved in fact the following theorem
Professor L’vov passed away on March 29, 2003.
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References
G.M. Bergman, The Diamond Lemma for ring theory, Adv. in Math. 29 (1978), 178 218.
L.A Bokut, Imbedding into simple associative algebra (Russian), Algebra i Logika 15 (1976), 117 142.
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Ju.M. Ryabukhin, On problem of the existence of a simple nil ring (Russian), Sibirsk. Math. Z. 10 (1969), 950–956.
A. Smoktunowicz, A simple nil ring exists, Preprint 596, Inst. of Math., Polish Academy of Science (1999).
A. Smoktunowicz, A simple nil ring exists, Comm. Algebra 30 (2002), 27 59.
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© 2003 Springer Science+Business Media Dordrecht
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L’vov, I.V. (2003). The Existence of a Simple Nil Ring (After Agata Smoktunowicz). In: Proceedings of the Third International Algebra Conference. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0337-6_8
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DOI: https://doi.org/10.1007/978-94-017-0337-6_8
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