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Jun, Young Bae; Kim, Hee Sik; Roh, Eun Hwan

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

J. Appl. Math. 2012, Article ID 783657, 9 p. (2012).
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.

MSC:

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

Keywords:

ranked bigroupoids; generalized coderivations; rankomorphisms; ranked subsystems
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\textit{Y. B. Jun} et al., J. Appl. Math. 2012, Article ID 783657, 9 p. (2012; Zbl 1255.20066)
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References:

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