مشخصه‌سازی شبه n-همریختی ژوردان بین جبر‌های یکدار

نویسندگان
1 دانشگاه ایت ا... بروجردی، گروه ریاضی، بروجرد، ایران
2 گروه ریاضی، واحد گرمسار، دانشگاه آزاد اسلامی، گرمسار، ایران
چکیده
فرض کنید A و B دو جبر باناخ و B یک A-مدول باشد. دراین مقاله تحت شرایط خاص ثابت می‌کنیم که هرشبه (n+1)-همریختی‌ ژوردان f یک شبه (n)-همریختی‌ ژوردان است و هر هرشبه (n)-همریختی‌ ژوردان یک (n)-همریختی‌ ژوردان است.


کلیدواژه‌ها

عنوان مقاله English

Characterization of Pseudo n-Jordan Homomorphisms Between Unital Algebras

نویسندگان English

Abbas Zivari-Kazempour 1
Abasalt Bodaghi 2
1 Ayatollah Borujerdi University
2 Garmsar Branch, Islamic Azad University
چکیده English

Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan homomorphism./files/site1/files/64/10.pdf

کلیدواژه‌ها English

n-homomorphism
n-Jordan homomorphism
Pseudo n-Jordan homomorphism
1. An G., "Characterization of n-Jordan homomorphism, Linear and Multilinear algebra", (2017), Doi /10.1080/03081087.2017.1318818.## 2. Bodaghi A., Inceboz H., "n-Jordan homomorphisms on commutative algebras", Acta. Math. Univ. Comenianae, 87 (1) (2018) 141-146## 3. Bodaghi A., Inceboz H., "Extension of Zelazko's theorem to n-Jordan homomorphisms", Adv. Pure. Appl. Math. 9 (2) (2018). ## 4. Bracic J., Moslehian M. S., "On automatic continuity of 3-homomorphisms on Banach algebras", Bull. Malaysian. Math. Sci. Soc., 30 (2) (2007) 195-200. ## 5. Ebadian A., Jabari A., Kanzi N., "n-Jordan homomorphisms and Pseudo n-Jordan homomorphisms on Banach algebras", Mediterr. J. Math., 14 (241) (2017) 1-11. ## 6. Eshaghi M., Gordji, "n-Jordan homomorphisms", Bull. Aust. Math. Soc., 80 (1) (2009) 159-164. ## 7. Gordji M. E., Karimi T., Gharetapeh S. K., "Approximately n-Jordan homomorphisms on Banach algebras", J. Ineq. Appli., Article ID 870843 (2009) 8. ## 8. Gselmann E., "On approximate n-Jordan homomorphisms", Annales Math. Silesianae, 28 (2014) 47-58. ## 9. Hejazian Sh., Mirzavaziri M., Moslehian M. S., "n-homomorphisms", Bull. Iranian Math. Soc., 31 (1) (2005) 13-23. ## 10. Herstein I. N.," Jordan homomorphisms", Trans. Amer. Math. Soc., 81 (1) (1956) 331-34. ## 11. Jacobson N. , Rickart C. E., "Jordan homomorphisms of rings", Trans. Amer. Math. Soc., 69 (3) (1950) 479-502. ## 12. Lee Y. H., "Stability of n-Jordan homomorphisms from a Normed Algebra to a Banach Algebra", Abst. Appli. Anal., 2013, Article ID 691025 (2013) 5. ## 13. Lu F., "Characterizations of derivations and Jordan derivations on Banach algebras", Linear Algebra and its Applications., 430 (2009) 2233-2239## 14. Miura T., Takahasi S. E., Hirasawa G., "Hyers-Ulam-Rassias stability of Jordan homomorphisms, on Banach algebras", J. Ineq. Appl., 2005 (4) (2005) 435-441. ## 15. Palmer T., "Banach algebras and the general theory of *-algebras", Vol I, Cambridge: Univ Press (1994). ## 16. Zelazko W., "A characterization of multiplicative linear functionals in complex Banach algebras", Studia Math., 30 (1968) 83-85. ## 17. Zivari-kazempour A., "A characterization of 3-Jordan homomorphism on Banach algebras", Bull. Aust. Math. Soc., 93 (2) (2016) 301-306. ## 18. Zivari-Kazempour A., "A characterization of Jordan and 5-Jordan homomorphisms between Banach algebras", Asian-European J. Math., 11 (2) (2018) 1-10. ## 19. Zivari-kazempour A., "Automatic continuity of n-Jordan homomorphisms on Banach algebras", Commu. Korean Math. Soc., 33 (1) (2018) 165-170. ##