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Some characterizations of semiprime Goldie rings
Published online by Cambridge University Press: 18 May 2009
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The notation in this paper will be standard and it may be found in [3], for example. In particular, the notation A ⊂′ B stands for the statement “A is an essential submodule of B”. As is customary, we say that a ring R is a Goldie ring when R is both left and right Goldie. Similarly, a ring is noetherian if and only if it is both right and left noetherian, etc.
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- Copyright © Glasgow Mathematical Journal Trust 1993
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