scholarly journals Hom-Hyporeductive Triple Algebras

2021 ◽  
Vol 65 (1) ◽  
pp. 25-58
Author(s):  
Sylvain Attan ◽  
◽  
Donatien Gaparayi ◽  
Keyword(s):  
Ternary Algebras

Hom-hyporeductive triple algebras are defined as a twisted generalization of hyporeductive triple algebras. Hom-hyporeductive triple algebras generalize right Hom-Lie-Yamaguti and right Hom-Bol algebras as the same way as hyporeductive triple algebras generalize right Lie-Yamaguti and right Bol algebras. It is shown that the category of Hom-hyporeductive triple algebras is closed under the process of taking nth derived binary-ternary Hom-algebras and by self-morphisms of binary-ternary algebras. Some examples of Hom-hyporeductive triple algebras are given.

scholarly journals Homomorphisms and derivations in C∗-ternary algebras via fixed point method

2012 ◽  
Vol 2012 (1) ◽  
pp. 137 ◽  
Author(s):  
HM Kenari ◽  
Reza Saadati ◽  
Choonkil Park
Keyword(s):  
Fixed Point ◽  
Fixed Point Method ◽  
Point Method ◽  
Ternary Algebras

Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras

2012 ◽  
pp. 305-315
Author(s):  
Madjid Eshaghi Gordji ◽  
N. Ghobadipour ◽  
A. Ebadian ◽  
M. Bavand Savadkouhi ◽  
Choonkil Park
Keyword(s):  
Ternary Algebras ◽  
Jordan Homomorphisms

scholarly journals APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS: REVISITED

2013 ◽  
Vol 21 (2) ◽  
pp. 161-170 ◽  
Author(s):  
Young Cho ◽  
Sun Young Jang ◽  
Su Min Kwon ◽  
Choonkil Park ◽  
Won-Gil Park
Keyword(s):  
Ternary Algebras

On inner ideals in ternary algebras

1990 ◽  
Vol 204 (1) ◽  
pp. 309-318 ◽  
Author(s):  
C. M. Edwards ◽  
G. T. Rüttimann
Keyword(s):  
Ternary Algebras

Approximations of ternary Jordan homomorphisms and derivations in multi-C ∗ ternary algebras

2011 ◽  
Vol 134 (1-2) ◽  
pp. 99-114 ◽  
Author(s):  
Donal O’Regan ◽  
John Michael Rassias ◽  
Reza Saadati
Keyword(s):  
Ternary Algebras ◽  
Jordan Homomorphisms

scholarly journals Necessary conditions for ternary algebras

2010 ◽  
Vol 43 (46) ◽  
pp. 465202 ◽  
Author(s):  
David B Fairlie ◽  
Jean Nuyts
Keyword(s):  
Necessary Conditions ◽  
Ternary Algebras

scholarly journals Approximately Ternary Homomorphisms onC*-Ternary Algebras

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Eon Wha Shim ◽  
Su Min Kwon ◽  
Yun Tark Hyen ◽  
Yong Hun Choi ◽  
Abasalt Bodaghi
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Direct Method ◽  
Ulam Stability ◽  
Fixed Point Approach ◽  
Ternary Algebras

Gordji et al. established the Hyers-Ulam stability and the superstability ofC*-ternary homomorphisms andC*-ternary derivations onC*-ternary algebras, associated with the following functional equation:fx2-x1/3+fx1-3x3/3+f3x1+3x3-x2/3=fx1, by the direct method. Under the conditions in the main theorems, we can show that the related mappings must be zero. In this paper, we correct the conditions and prove the corrected theorems. Furthermore, we prove the Hyers-Ulam stability and the superstability ofC*-ternary homomorphisms andC*-ternary derivations onC*-ternary algebras by using a fixed point approach.

Sign in / Sign up

Export Citation Format

Share Document