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- W2321837177 abstract "A well known result of Levitzki [2, Lemma 1.1] is the following: Theorem. Let R be a ring and U a non-zero one-sided ideal of R. Suppose that given a∈U, a n = 0 for a fixed integer n ≥ 1; then R has a non-zero nilpotent ideal. The purpose of this note is to observe some additional results which are related to the above. Theorem 1. Let R be a ring with no non-zero nil ideals and U an ideal of R. Suppose that a∊R is such that for every x∊U, ax n(x) = 0 where n(x) ≥ 1 depends on x; then aU= Ua = 0." @default.
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- W2321837177 date "1978-06-01" @default.
- W2321837177 modified "2023-10-16" @default.
- W2321837177 title "On a Result of Levitzki" @default.
- W2321837177 doi "https://doi.org/10.4153/cmb-1978-040-0" @default.
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