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Articolul urmator |
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Ultima descărcare din IBN: 2020-12-09 00:03 |
SM ISO690:2012 COJUHARI, Elena, GARDNER, Barry. Preservation of radials by generalizations of derivations. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 63-66. ISBN 978-9975-71-915-5. |
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Conference of Mathematical Society of the Republic of Moldova 4, 2017 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 63-66 | ||||||
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By results of Anderson and Slin’ko, derivations preserve the locally nilpotent and nil radicals of algebras over a field of characteristic 0. There is also a well known and elementary result that derivations preserve idempotent ideals. The radical results are extended to some (not all) rings, possible generalizations using generalizations of derivations are examined, the relevance of the result about idempotent ideals is pointed out and some comments about the Jacobson radical are included. |
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Cuvinte-cheie algebra, Radical, derivation |
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