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Characterization of Pseudo n-Jordan Homomorphisms

Abbas Zivari-Kazempour
경북대학교 자연과학대학 수학과|2021.12|Kyungpook Mathematical Journal|제61권 제4호|pp. 737-744

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참고문헌

키워드

Pseudo n-Jordan homomorphismn-Jordan homomorphismright separating point
주제분류수학

초록

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.

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.

참고문헌 (14)

  1. G. An, "Characterization of n-Jordan homomorphism", Linear Multi. Algebra, 66(4), pp.671~680 (2018)
  2. A. Bodaghi, "n-Jordan homomorphisms on commutative algebras", Acta. Math. Univ. Comenianae, 87(1), pp.141~146 (2018)
  3. A. Bodaghi, "Extension of Zelazko’s theorem to n-Jordan homomorphisms", Adv. Pure. Appl. Math, 10(2), pp.165~170 (2019)
  4. A. Ebadian, "n-Jordan homomorphisms and Pseudo nJordan homomorphisms on Banach algebras", Mediterr. J. Math, 14(241), pp.1~11 (2017)
  5. Ali Ebadian, "Pseudo $n$-Jordan homomorphisms and pseudo $n$-homomorphisms on Banach algebras", 호남수학학술지, 42(2), pp.411~423 (2020), 호남수학회
  6. Sh. Hejazian, "n-homomorphisms", Bull. Iranian Math. Soc, 31(1), pp.13~23 (2005)
  7. I. N. Herstein, "Jordan homomorphisms", Trans. Amer. Math. Soc, 81(1), pp.331~341 (1956)
  8. N. Jacobson, "Jordan homomorphisms of rings", Trans. Amer. Math. Soc, 69(3), pp.479~502 (1950)
  9. M. Neghabi, "Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms", Filomat, 34(6), pp.1989~2002 (2020)
  10. T. Palmer, "Banach algebras and the general theory of *-algebras. Vol I" (1994), Cambridge:Univ Press
  11. W. Zelazko, "A characterization of multiplicative linear functionals in complex Banach algebras", Studia Math, 30, pp.83~85 (1968)
  12. A. Zivari-Kazempour, "A characterization of 3-Jordan homomorphism on Banach algebras", Bull. Aust. Math. Soc, 93(2), pp.301~306 (2016)
  13. Abbas Zivari-Kazempour, "Automatic continuity of $n$-Jordan homomorphisms on Banach algebras", 대한수학회논문집, 33(1), pp.165~170 (2018), 대한수학회
  14. 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, pp.213~218 (2020)

관련 논문AI추천

Additivity of Jordan triple product homomorphisms on generalized matrix algebras김상옥, 박춘길대한수학회 · 대한수학회보2013 · 제50권 제6호Automatic continuity of $n$-Jordan homomorphisms on Banach algebrasAbbas Zivari-Kazempour대한수학회 · 대한수학회논문집2018 · 제33권 제1호A simple proof for a result on $n$-Jordan homomorphisms박춘길, Abbas Zivari-Kazempour대한수학회 · 대한수학회논문집2023 · 제38권 제2호Jordan (φ, ψ)-derivations in JB^*-triplesAbbas Najati, Mohammad Sal Moslehian대한수학회 · 대한수학회논문집2011 · 제26권 제4호Some results on $n$-Jordan homomorphisms박춘길, Jahangir Cheshmavar, Seyed Kamel Hosseini대한수학회 · 대한수학회보2020 · 제57권 제1호On Jordan and Jordan higher derivable maps of ringsLei Liu대한수학회 · 대한수학회보2020 · 제57권 제4호

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