Abstract
AbstractAn extensionR1of a right chain ringRis called immediate ifR1has the same residue division ring and the same lattice of principal right ideals asR. Properties of such immediate extensions are studied. It is proved that for everyR, maximal immediate extensions exist, but that in contrast to the commutative case maximal right chain rings are not necessarily linearly compact.
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Schedule a callMore From: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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