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- W2110424094 abstract "Responding to a question on right weakly semisimple rings due to Jain, Lopez-Permouth and Singh, we report the existence of a non-right-Noetherian ring R for which every uniform cyclic right it-module is weakly-injective and every uniform finitely generated right R -module is compressible. We show that a ring R is a right Noetherian ring for which every cyclic right R -module is weakly R -injective if and only if R is a right Noetherian ring for which every uniform cyclic right R -module is compressible if and only if every cyclic right R -module is compressible. Finally, we characterise those modules M for which every finitely generated (respectively, cyclic) module in σ[ M ] is compressible." @default.
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- W2110424094 date "1995-12-01" @default.
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- W2110424094 title "Notes on weakly-semisimple rings" @default.
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- W2110424094 doi "https://doi.org/10.1017/s0004972700014982" @default.
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