On commutativity of ideal extensions
classification
🧮 math.RA
keywords
extensionsidealcommutativityanswerscentralcharacteristicclassifyconstruct
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In this paper we examine the commutativity of ideal extensions. We introduce methods of constructing such extensions, in particular we construct a noncommutative ring T which contains a central and idempotent ideal I such that T/I is a field. This answers a question from [2]. Moreover we classify fields of characteristic 0 which can be obtained as T/I for some T.
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