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@article{1785099, author = {Kaďourek, Jiří}, article_location = {New York}, article_number = {3}, doi = {http://dx.doi.org/10.1007/s00233-021-10174-1}, keywords = {Completely regular semigroups; Completely simple semigroups; Varieties of completely regular semigroups; Central completely regular semigroups; Locally orthodox completely regular semigroups; Bases of identities of finite semigroups}, language = {eng}, issn = {0037-1912}, journal = {Semigroup Forum}, title = {On bases of identities of finite central locally orthodox completely regular semigroups}, url = {https://doi.org/10.1007/s00233-021-10174-1}, volume = {102}, year = {2021} }
TY - JOUR ID - 1785099 AU - Kaďourek, Jiří PY - 2021 TI - On bases of identities of finite central locally orthodox completely regular semigroups JF - Semigroup Forum VL - 102 IS - 3 SP - 697-724 EP - 697-724 PB - Springer SN - 00371912 KW - Completely regular semigroups KW - Completely simple semigroups KW - Varieties of completely regular semigroups KW - Central completely regular semigroups KW - Locally orthodox completely regular semigroups KW - Bases of identities of finite semigroups UR - https://doi.org/10.1007/s00233-021-10174-1 N2 - It has been known for a long time that every finite orthodox completely regular semigroup has a finite basis of identities, and that every finite central completely simple semigroup has a finite basis of identities. In the present paper, a common generalization of these two facts is established. It is shown that every finite central locally orthodox completely regular semigroup has a finite basis of identities. The proof of this latter fact which is presented in this paper employs significantly the celebrated theorem of Libor Polák on the structure of the lattice of all varieties of completely regular semigroups. ER -
KAĎOUREK, Jiří. On bases of identities of finite central locally orthodox completely regular semigroups. \textit{Semigroup Forum}. New York: Springer, 2021, roč.~102, č.~3, s.~697-724. ISSN~0037-1912. Dostupné z: https://dx.doi.org/10.1007/s00233-021-10174-1.
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