Monoids for which condition (P) acts are projective
A characterisation of monoids for which all right S-acts satisfying condition (P) are projective is given. We also give a new characterisation of those monoids for which all cyclic right S-acts satisfying condition (P) are projective, similar in nature to recent work by Kilp [6]. In addition we give...
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| Format: | Article |
| Language: | English |
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2000.
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| Online Access: | Get fulltext |
| LEADER | 00797 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 41121 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Renshaw, James |e author |
| 245 | 0 | 0 | |a Monoids for which condition (P) acts are projective |
| 260 | |c 2000. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/41121/1/41121-01.pdf | ||
| 520 | |a A characterisation of monoids for which all right S-acts satisfying condition (P) are projective is given. We also give a new characterisation of those monoids for which all cyclic right S-acts satisfying condition (P) are projective, similar in nature to recent work by Kilp [6]. In addition we give a sufficient condition for all right S-acts that satisfy condition (P) to be strongly flat and show that the indecomposable acts that satisfy condition (P) are the locally cyclic acts. | ||
| 655 | 7 | |a Article | |