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Some characterizations of semiprime Goldie rings

Published online by Cambridge University Press:  18 May 2009

S. R. López-Permouth ,
S. Tariq Rizvi  and
M. F. Yousif
S. R. López-Permouth
Affiliation:
Ohio UniversityAthens Ohio 4570
S. Tariq Rizvi
Affiliation:
Ohio State UniversityLima Ohio 45804
M. F. Yousif
Affiliation:
Ohio State UniversityLima Ohio 45804
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 35 , Issue 3 , September 1993 , pp. 357 - 365
Copyright
Copyright © Glasgow Mathematical Journal Trust 1993

References

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