caa a22 4500 445345438 CHVBK 20180317142827.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00233-011-9304-z doi (NATIONALLICENCE)springer-10.1007/s00233-011-9304-z Goberstein Simon Department of Mathematics and Statistics, California State University, 95929-0525, Chico, CA, USA aut Lattice isomorphisms of bisimple monogenic orthodox semigroups [Elektronische Daten] [Simon Goberstein] Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained by the author (in Semigroup Forum 78, 310-325, 2009), we prove that every bisimple orthodox semigroup generated by a pair of mutually inverse elements of infinite order is strongly determined by the lattice of its subsemigroups in the class of all semigroups. This theorem substantially extends an earlier result of Shevrin (in Simon Stevin 67, 49-53, 1993) stating that the bicyclic semigroup is strongly lattice determined. Springer Science+Business Media, LLC, 2011 Orthodox semigroups nationallicence Monogenic orthodox semigroups nationallicence Bisimple orthodox semigroups nationallicence Abridged words nationallicence Lattice isomorphisms of semigroups nationallicence Lattice determined semigroups nationallicence Semigroup Forum Springer-Verlag 83/2(2011-10-01), 250-280 0037-1912 83:2<250 2011 83 233 https://doi.org/10.1007/s00233-011-9304-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9304-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Goberstein Simon Department of Mathematics and Statistics, California State University, 95929-0525, Chico, CA, USA aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/2(2011-10-01), 250-280 0037-1912 83:2<250 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer