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(<i>hnp</i>)-rings over which every module admits a basic submodule

(<i>hnp</i>)-rings over which every module admits a basic submodule

The structure of those bounded (hnp)-τings over which every module admits a basic submodule, is determined.It is shown that such rings are precisely the block lower triangular matrix rings over D\M where D is a discrete valuation ring with M as its maximal ideal.