The structure of a kind of semiabundant semigroups. (English) Zbl 1108.20059
Summary: We study semiabundant semigroups whose idempotents form normal subbands. We prove that a semigroup is of this type if and only if it is isomorphic to a quasi-spined product of a left normal band, a right normal band and a semiadequate semigroup.
MSC:
| 20M10 | General structure theory for semigroups |
Keywords:
semiabundant semigroups; idempotents; semiadequate semigroups; normal bands; quasi-spined products; Green relationsReferences:
| [1] | DOI: 10.1017/S0308210500012658 · Zbl 0501.20042 · doi:10.1017/S0308210500012658 |
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