Further Results on Derivations of Ranked Bigroupoids
نویسندگان
چکیده
Several authors 1–4 have studied derivations in rings and near rings. Jun and Xin 5 applied the notion of derivation in ring and near-ring theory to BCI-algebras, and as a result they introduced a new concept, called a regular derivation, in BCI-algebras. Zhan and Liu 6 studied f-derivations in BCI-algebras. Alshehri 7 applied the notion of derivations to incline algebras. Alshehri et al. 8 introduced the notion of ranked bigroupoids and discussed X, ∗,& -selfco derivations. In this paper, we investigate further properties on X, ∗,& -selfco derivations and provide conditions for an X, ∗,& -selfco derivation to be regular. We introduce the notion of ranked ∗-subsystems and investigate related properties.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012