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Published online by Cambridge University Press: 24 October 2008
While trying to place the grade-theoretic analogue of the Cousin complex (for a commutative Noetherian ring A) of K. R. Hughes [7], and the complexes of modules of generalized fractions studied by the first author and H. Zakeri[18], and by L. O'Carroll [10, p. 420], on a similar footing, Sharp and M. Yassi[15] introduced the concept of generalized Hughes complex. Such complexes are described as follows.