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- W1969549370 abstract "Some aspects of the algebraic structure of TCI-groupoids (totally commutative idempotent groupoids) are presented. Among other things, a full description of the corresponding binary clones is given. To investigate the algebraic structure of TCI-groupoids and their clones the families of two-generated subgroupoids are used. Next the algebraic structure of these families is studied in detail. We present a special construction which allows us to build each finite TCI-groupoid using the two-element semilattice as a kind of elementary brick. Furthermore it is proved that the class of all regular TCI-groupoids satisfying binary nonbalanced identities is a nonaxiomatizable proper subclass of the class of all regular TCI-groupoids." @default.
- W1969549370 created "2016-06-24" @default.
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- W1969549370 date "2010-12-01" @default.
- W1969549370 modified "2023-09-27" @default.
- W1969549370 title "Algebraic Structure of TCI-Groupoids: Classes, Clones, Constructions" @default.
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- W1969549370 doi "https://doi.org/10.1142/s1005386710000751" @default.
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