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@article{484055, author = {Kaďourek, Jiří}, article_number = {6}, keywords = {combinatorial inverse semigroup; variety of inverse semigroups}, language = {eng}, issn = {0308-2105}, journal = {Proceedings of the Royal Society of Edinburgh}, title = {A finitely generated variety of combinatorial inverse semigroups having uncountably many subvarieties}, volume = {132A}, year = {2002} }
TY - JOUR ID - 484055 AU - Kaďourek, Jiří PY - 2002 TI - A finitely generated variety of combinatorial inverse semigroups having uncountably many subvarieties JF - Proceedings of the Royal Society of Edinburgh VL - 132A IS - 6 SP - 1373 EP - 1373 SN - 03082105 KW - combinatorial inverse semigroup KW - variety of inverse semigroups N2 - 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. ER -
KAĎOUREK, Jiří. A finitely generated variety of combinatorial inverse semigroups having uncountably many subvarieties. \textit{Proceedings of the Royal Society of Edinburgh}. 2002, 132A, No~6, p.~1373-1394. ISSN~0308-2105.
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