Abstract
We investigate E *-dense semi\-groups as analogues of E-dense semigroups for semigroups with zero. We give a characterisation theorem for E *-dense semigroups whose idempotents form a *-rectangular band. The construction methods of generalised Rees matrix semigroups are employed to provide examples and illustrations. Our results are analogous to those of Weipoltshammer for E-dense semigroups.
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Hayes, A. E *-dense E-semigroups. Semigroup Forum 68, 218–232 (2004). https://doi.org/10.1007/s00233-003-0007-y
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DOI: https://doi.org/10.1007/s00233-003-0007-y