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@article{554082, author = {Kaďourek, Jiří}, article_location = {San Diego}, article_number = {2}, keywords = {finite orthodox semigroup; orthodox locally idempotent semigroup; basis of biidentities}, language = {eng}, issn = {0021-8693}, journal = {Journal of Algebra}, title = {Finite orthodox locally idempotent semigroups having no finite basis of biidentities}, volume = {266}, year = {2003} }
TY - JOUR ID - 554082 AU - Kaďourek, Jiří PY - 2003 TI - Finite orthodox locally idempotent semigroups having no finite basis of biidentities JF - Journal of Algebra VL - 266 IS - 2 SP - 446 EP - 446 PB - Elsevier Inc. SN - 00218693 KW - finite orthodox semigroup KW - orthodox locally idempotent semigroup KW - basis of biidentities N2 - A finitely generated existence variety of orthodox locally idempotent semigroups is constructed which has no finite basis of biidentities within the class of all orthodox semigroups. In addition, ordinary semigroup identities valid in this existence variety also cannot be finitely based. This yields examples of finite orthodox locally idempotent semigroups having both no finite basis of biidentities and also no finite basis of identities in the usual sense. ER -
KAĎOUREK, Jiří. Finite orthodox locally idempotent semigroups having no finite basis of biidentities. \textit{Journal of Algebra}. San Diego: Elsevier Inc., 2003, roč.~266, č.~2, s.~446-493. ISSN~0021-8693.
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