Author:
Dehghanian Mehdi,Mosadegh Seyed Mohammad Sadegh Modarres,Park Choonkil,Shin Dong Yun
Abstract
Abstract
In this paper, we prove the Hyers-Ulam stability of
C
∗
-ternary 3-derivations and of
C
∗
-ternary 3-homomorphisms for the functional equation
f
(
x
1
+
x
2
,
y
1
+
y
2
,
z
1
+
z
2
)
=
∑
1
≤
i
,
j
,
k
≤
2
f
(
x
i
,
y
j
,
z
k
)
in
C
∗
-ternary algebras.
MSC:17A40, 39B52, 46Lxx, 46K70, 46L05, 46B99.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference32 articles.
1. Cayley A: On the 34 concomitants of the ternary cubic. Am. J. Math. 1881, 4: 1–15. 10.2307/2369145
2. Kapranov M, Gelfand IM, Zelevinskii A: Discriminants, Resultants and Multidimensional Determinants. Birkhäuser, Berlin; 1994.
3. Kerner R: The cubic chessboard. Geometry and physics. Class. Quantum Gravity 1997, 14(1A):A203-A225. 10.1088/0264-9381/14/1A/017
4. Kerner, R: Ternary algebraic structures and their applications in physics. Preprint, Univ. P. and M. Curie, Paris (2000)
5. Abramov V, Kerner R, Le Roy B:Hypersymmetry: a "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -graded generalization of supersymmetry. J. Math. Phys. 1997, 38: 1650–1669. 10.1063/1.531821
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