A New Kind of Derivations in BCI-Algebras
نویسنده
چکیده
A new kind of derivation in BCI-algebras is introduced, and related properties are investigated. For a self map dq of a BCI-algebra X, conditions for the kernel of dq to be both a subalgebra and an ideal of X are provided. Mathematics Subject Classification: 06F35, 03G25
منابع مشابه
Further Results on Derivations of Ranked Bigroupoids
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 int...
متن کاملFuzzy Derivations BCC-Ideals on BCC-Algebras
In the theory of rings, the properties of derivations are important. In [15], Jun and Xin applied the notion of derivations in ring and near-ring theory to BCI-algebras, and they also introduced a new concept called a regular derivation in BCI-algebras. They investigated some properties of its .In this manuscript, the concept of fuzzy left (right) derivations BCCideals in BCC-algebras is introd...
متن کاملGeneralizations of Derivations in BCI-Algebras
In the present paper we introduced the notion of (θ ,φ)-derivations of a BCI-algebra X . Some interesting results on inside (or outside) (θ ,φ)-derivations in BCI-algebras are discussed. It is shown that for any commutative BCI-algebra X , every inside (θ ,φ)derivation of X is isotone. Furthermore it is also proved that for any outside (θ ,φ)-derivation d(θ ,φ) of a BCI-algebra X , d(θ ,φ)(x) =...
متن کاملREDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.
متن کاملA fixed point method for proving the stability of ring $(alpha, beta, gamma)$-derivations in $2$-Banach algebras
In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(alpha, beta, gamma)$-derivations in $2$-Banach algebras.
متن کامل