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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2011-11-21.
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| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | 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. |
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