
doi: 10.1155/2012/626781
The notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids. In this paper, the generalization of coderivations of ranked bigroupoids is discussed. The notion of generalized coderivations in ranked bigroupoids is introduced, and new generalized coderivations of ranked bigroupoids are obtained by combining a generalized self‐coderivation with a rankomorphism. From the notion of (X, ∗, &)‐derivation, the existence of a rankomorphism of ranked bigroupoids is established.
BCK-algebras, BCI-algebras, Relational systems, laws of composition, QA1-939, generalized coderivations, Other generalizations of groups, Derivations, actions of Lie algebras, rankomorphisms, ranked bigroupoids, Mathematics
BCK-algebras, BCI-algebras, Relational systems, laws of composition, QA1-939, generalized coderivations, Other generalizations of groups, Derivations, actions of Lie algebras, rankomorphisms, ranked bigroupoids, Mathematics
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