,On Iterated Maximal Essential Extensions of Rings

来源 :代数集刊（英文版） | 被引量 : 0次 | 上传用户：kanshu

【摘要】

：

Necessary and sufficient conditions for the existence of IME(A), the iterated maximal essential extensions of an associative ring A, are given. Some properties

【作者】

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R.R. Andruszkiewicz

【机构】

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Institute of Mathematics, University of Bialystok 15-267 Bialystok, Akademicka 2, Poland

【出处】

：

代数集刊（英文版）

【发表日期】

：

2002年3期

【关键词】

：

ideal accessible subring essential subring integral domain

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Necessary and sufficient conditions for the existence of IME(A), the iterated maximal essential extensions of an associative ring A, are given. Some properties of IME(A) are described, in particular, when A is semiprime. Examples of prime rings A for which IME(A) does not exist are constructed.

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,On Iterated Maximal Essential Extensions of Rings

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