A finitely generated variety of combinatorial inverse semigroups having uncountably many subvarieties
| Authors | |
|---|---|
| Year of publication | 2002 |
| Type | Article in Periodical |
| Magazine / Source | Proceedings of the Royal Society of Edinburgh |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | combinatorial inverse semigroup; variety of inverse semigroups |
| Description | A finite combinatorial inverse semigroup of moderate size is presented such that the variety of combinatorial inverse semigroups generated by this semigroup posseses the following properties. The lattice of all subvarieties of this variety has the cardinality of the continuum. Moreover, the mentioned semigroup, and hence also the variety it generates and its subvarieties, all have E-unitary covers over any non-trivial variety of groups. |
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