Summary
The theory of generalized pseudoinjective modules and generalized hereditary radicals corresponding to them is introduced. The results concerning to the pseudoinjectivity with respect to a pair of preradicals r and s, which generalizes the (r, s)-injectivity investigated by J. A. Beachy in [1],are obtained from the general theory as consequences.
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This work was written while the first author was a visiting professor supported by Italian C.N.R.
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Bican, L., Jirásko, J. Generalized pseudoinjectivity. Annali di Matematica pura ed applicata 153, 91–114 (1988). https://doi.org/10.1007/BF01762388
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DOI: https://doi.org/10.1007/BF01762388