Quasi-ideal transversals of abundant semigroups and spined products
We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups [10]. As a consequence we deduce a similar resu...
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| Format: | Article |
| Language: | English |
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2011-11-21.
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| Online Access: | Get fulltext |
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| 001 | 66453 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Al-Bar, Jehan |e author |
| 700 | 1 | 0 | |a Renshaw, James |e author |
| 245 | 0 | 0 | |a Quasi-ideal transversals of abundant semigroups and spined products |
| 260 | |c 2011-11-21. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/66453/1/quasi_ideals.pdf | ||
| 520 | |a We provide a new and much simpler structure for quasi-ideal adequate transversals of abundant semigroups in terms of spined products, which is similar in nature to that given by Saito for weakly multiplicative inverse transversals of regular semigroups [10]. As a consequence we deduce a similar result for multiplicative transversals of abundant semigroups and also consider the case when the semigroups are in fact regular and provide some new structure theorems for inverse transversals. | ||
| 655 | 7 | |a Article | |