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@article{1642437, author = {Almeida, Jorge and Klíma, Ondřej}, article_location = {BASEL}, article_number = {2}, doi = {http://dx.doi.org/10.1007/s00025-019-0998-7}, keywords = {Ordered semigroup; pseudovariety; completely regular semigroup; band; complete lattice homomorphism}, language = {eng}, issn = {1422-6383}, journal = {RESULTS IN MATHEMATICS}, title = {Pseudovarieties of Ordered Completely Regular Semigroups}, url = {https://link.springer.com/article/10.1007/s00025-019-0998-7}, volume = {74}, year = {2019} }
TY - JOUR ID - 1642437 AU - Almeida, Jorge - Klíma, Ondřej PY - 2019 TI - Pseudovarieties of Ordered Completely Regular Semigroups JF - RESULTS IN MATHEMATICS VL - 74 IS - 2 SP - 1-28 EP - 1-28 PB - SPRINGER BASEL AG SN - 14226383 KW - Ordered semigroup KW - pseudovariety KW - completely regular semigroup KW - band KW - complete lattice homomorphism UR - https://link.springer.com/article/10.1007/s00025-019-0998-7 L2 - https://link.springer.com/article/10.1007/s00025-019-0998-7 N2 - This paper is a contribution to the theory of finite semigroups and their classification in pseudovarieties, which is motivated by its connections with computer science. The question addressed is what role is played by the consideration of an order compatible with the semigroup operation. In the case of unions of groups, so-called completely regular semigroups, the problem of which new pseudovarieties appear in the ordered context is solved. As applications, it is shown that the lattice of pseudovarieties of ordered completely regular semigroups is modular and that taking the intersection with the pseudovariety of bands defines a complete endomorphism of the lattice of all pseudovarieties of ordered semigroups. ER -
ALMEIDA, Jorge a Ondřej KLÍMA. Pseudovarieties of Ordered Completely Regular Semigroups. \textit{RESULTS IN MATHEMATICS}. BASEL: SPRINGER BASEL AG, 2019, roč.~74, č.~2, s.~1-28. ISSN~1422-6383. Dostupné z: https://dx.doi.org/10.1007/s00025-019-0998-7.
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