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- W1978125557 abstract "Simple and subsimple objects were introduced in [6]. It was shown that if there are enough simple objects in a category , then there is no room for injectives in . This idea was exploited in [ 6 ] and [ 2 ] to show that several classes of groups, rings and classes belonging to other categories do not possess non-trivial injectives or retracts. In this note, the above results will be strengthened by introducing a weaker condition than subsimple of [ 6 ]. As a consequence, and by employing some embedding theorems, we show that some important classes do not possess non-trivial retracts. All the categories are assumed to have a zero object." @default.
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- W1978125557 date "1985-10-01" @default.
- W1978125557 modified "2023-09-23" @default.
- W1978125557 title "Subsimple, injective, retract" @default.
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