Browse > Article
http://dx.doi.org/10.5666/KMJ.2021.61.4.737

Characterization of Pseudo n-Jordan Homomorphisms  

Zivari-Kazempour, Abbas (Department of Mathematics, Ayatollah Borujerdi University)
Publication Information
Kyungpook Mathematical Journal / v.61, no.4, 2021 , pp. 737-744 More about this Journal
Abstract
In this paper, among other things, we show that under special hypotheses every [pseudo] (n + 1)-Jordan homomorphism is a [pseudo] n-Jordan homomorphism and vice versa.
Keywords
Pseudo n-Jordan homomorphism; n-Jordan homomorphism; right separating point;
Citations & Related Records
연도 인용수 순위
  • Reference
1 A. Bodaghi and H. Inceboz, Extension of Zelazko's theorem to n-Jordan homomorphisms, Adv. Pure. Appl. Math., 10(2)(2019), 165-170.   DOI
2 A. Ebadian, M. Eshaghi Gordji and A. Jabbari, Pseudo n-Jordan homomorphisms and pseudo n-homomorphisms on Banach algebras, Honam Math. J., 42(2)(2020), 411-423.   DOI
3 Sh. Hejazian, M. Mirzavaziri and M. S. Moslehian, n-homomorphisms, Bull. Iranian Math. Soc., 31(1)(2005), 13-23.
4 N. Jacobson and C. E. Rickart, Jordan homomorphisms of rings, Trans. Amer. Math. Soc., 69(3)(1950), 479-502.   DOI
5 M. Neghabi, A. Bodaghi and A. Zivari Kazempour, Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms, Filomat, 34(6)(2020), 1989-2002.   DOI
6 W. Zelazko, A characterization of multiplicative linear functionals in complex Banach algebras, Studia Math., 30(1968), 83-85.   DOI
7 A. Zivari-Kazempour, A characterization of 3-Jordan homomorphism on Banach algebras, Bull. Aust. Math. Soc., 93(2)(2016), 301-306.   DOI
8 A. Zivari-Kazempour, Characterization of n-Jordan homomorphisms and automatic continuity of 3-Jordan homomorphisms on Banach algebras, Iran J. Sci. Technol. Trans. Sci., 44(2020), 213-218.   DOI
9 T. Palmer, Banach algebras and the general theory of *-algebras. Vol I, Cambridge: Univ Press, (1994).
10 A. Zivari-Kazempour, Automatic continuity of n-Jordan homomorphisms on Banach algebras, Commun. Korean Math. Soc., 33(1)(2018), 165-170.   DOI
11 A. Bodaghi and H. Inceboz, n-Jordan homomorphisms on commutative algebras, Acta. Math. Univ. Comenianae., 87(1)(2018), 141-146.
12 G. An, Characterization of n-Jordan homomorphism, Linear Multi. Algebra, 66(4)(2018), 671-680.   DOI
13 A. Ebadian, A. Jabbari and N. Kanzi, n-Jordan homomorphisms and Pseudo n-Jordan homomorphisms on Banach algebras, Mediterr. J. Math., 14(241)(2017), 1-11.   DOI
14 I. N. Herstein, Jordan homomorphisms, Trans. Amer. Math. Soc., 81(1)(1956), 331-341.   DOI