KAĎOUREK, Jiří. Finite orthodox locally idempotent semigroups having no finite basis of biidentities. Journal of Algebra. San Diego: Elsevier Inc., 2003, vol. 266, No 2, p. 446-493. ISSN 0021-8693.
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Basic information
Original name Finite orthodox locally idempotent semigroups having no finite basis of biidentities
Authors KAĎOUREK, Jiří (203 Czech Republic, guarantor).
Edition Journal of Algebra, San Diego, Elsevier Inc. 2003, 0021-8693.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.492
RIV identification code RIV/00216224:14310/03:00008637
Organization unit Faculty of Science
UT WoS 000184435600006
Keywords in English finite orthodox semigroup; orthodox locally idempotent semigroup; basis of biidentities
Tags basis of biidentities, finite orthodox semigroup, orthodox locally idempotent semigroup
Changed by Changed by: doc. RNDr. Jiří Kaďourek, CSc., učo 1586. Changed: 9/4/2004 13:44.
Abstract
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.
Links
GA201/01/0323, research and development projectName: Ekvacionální logika pologrup a aplikace
Investor: Czech Science Foundation, Equational logic of semigroups and applications
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