Further results on derivations of ranked bigroupoids. (English) Zbl 1255.20066

Summary: Further properties on \((X,*,\&)\)-self-(co)derivations of ranked bigroupoids are investigated, and conditions for an \((X*,\&)\)-self-(co)derivation to be regular are provided. The notion of ranked \(*\)-subsystems is introduced, and related properties are investigated.


20N99 Other generalizations of groups
08A02 Relational systems, laws of composition
06F35 BCK-algebras, BCI-algebras
16W25 Derivations, actions of Lie algebras
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