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Coderivations of Ranked Bigroupoids

Coderivations of ranked bigroupoids.
Authors: Young Bae Jun; Kyoung Ja Lee; Chul Hwan Park;

Coderivations of Ranked Bigroupoids

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Top 10%
Average
gold