Derivations of Pku-Algebras

Prabpayak, Chanwit

doi:10.17654/ms102091917

Cited by 6 publications

(8 citation statements)

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“…Lemma 2.16 [18] A derivation d of BCC algebra X is regular. Proposition 2.17 [18] Let ( , *, 0) X be a BCC-algebra with partial order , ≤ and let d be a derivation of .…”

Section: Preliminariesmentioning

confidence: 99%

“…Proposition 2.17 [18] Let ( , *, 0) X be a BCC-algebra with partial order , ≤ and let d be a derivation of . X Then the following hold for all , : …”

Section: Preliminariesmentioning

confidence: 99%

“…Two years later, Hamza and Al-Shehri [9,10] studied derivation in BCKalgebras, a left derivation in BCI-algebras and investigated a regular left derivation of BCI-algebras. C. Prabpayak, U. Leerawat [18] applied the notion of a regular derivation to BCC algebras and investigated some related properties.…”

Section: Introductionmentioning

confidence: 99%

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Fuzzy Derivations BCC-Ideals on BCC-Algebras

Mostafa¹

2015

PAMJ

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Abstract: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 introduced and then investigate their basic properties. In connection with the notion of homomorphism, the authors study how the image and the pre-image of fuzzy left (right) derivations BCC-ideals under homomorphism of BCC-algebras become fuzzy left (right) derivations BCC-ideals. Furthermore, the Cartesian product of fuzzy left (right) derivations BCC-ideals in Cartesian product of BCC-algebras is introduced and investigated some related properties.

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“…Lemma 2.16 [18] A derivation d of BCC algebra X is regular. Proposition 2.17 [18] Let ( , *, 0) X be a BCC-algebra with partial order , ≤ and let d be a derivation of .…”

Section: Preliminariesmentioning

confidence: 99%

“…Proposition 2.17 [18] Let ( , *, 0) X be a BCC-algebra with partial order , ≤ and let d be a derivation of . X Then the following hold for all , : …”

Section: Preliminariesmentioning

confidence: 99%

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Fuzzy Derivations BCC-Ideals on BCC-Algebras

Mostafa¹

2015

PAMJ

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“…Then a new kind of derivations of BCI-algebra has been introduced in [8]. On the other hand, some authors applied the notion of derivations on different classes of abstract algebras such as BCC-algebra, B-algebra and G-algebra and some related properties have been investigated (see [12], [4] and [3].) Moreover, a new kind of derivations of G-algebra named f q -derivation has been introduced in [2].…”

Section: Introductionmentioning

confidence: 99%

On (f,g)-derivations of G-algebras

Al-Kadi¹

2017

pms

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“…B. Jun and Xin and some of its related properties were given by them [6]. Later, in [11] the notion of a regular derivation in BCI-algebras was applied to BCC-algebras by Prabpayak and Leerawat and also some of its related properties were investigated. In [1] the notion of derivation in B-algebra was given and some related properties were stated by N. O. Alshehri.…”

Section: Introductionmentioning

confidence: 99%