Homomorphisms and congruences of medial semigroups with an associate subgroup
Let S be the model of a semigroup with an associate subgroup whose identity is a medial idempotent constructed by Blyth and Martins considered as a unary semigroup. For another such semigroup T, we construct all unary homomorphisms of S into T in terms of their parameters. On S we construct all unar...
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| Format: | article |
| Language: | eng |
| Published: |
2008
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| Online Access: | http://hdl.handle.net/1822/11111 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11111 |
| Summary: | Let S be the model of a semigroup with an associate subgroup whose identity is a medial idempotent constructed by Blyth and Martins considered as a unary semigroup. For another such semigroup T, we construct all unary homomorphisms of S into T in terms of their parameters. On S we construct all unary congruences again directly from its parameters. This construction leads to a characterization of congruences in terms of kernels and traces. We describe the K, T, L, U and V relations on the lattice of all unary congruences on S, again in terms of parameters of S. |
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