Two-sided essential nilpotence

Esfandiar Eslami and Patrick Stewart

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-4

Abstract:

An ideal I of a ring A is essentially nilpotent if I contains a nilpotent ideal N of A such that J ⋂ N ≠0 whenever J is a nonzero ideal of A contained in I . We show that each ring A has a unique largest essentially nilpotent ideal E N ( A ) . We study the properties of E N ( A ) and, in particular, we investigate how this ideal behaves with respect to related rings.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:829168

DOI: 10.1155/S0161171292000449

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