Jordan centralizer maps on trivial extension algebras

• Autorzy: Bahmani Mohammad Ali , Ghomanjani Fateme , Shateyi Stanford

Identyfikatory

DOI

10.1515/dema-2020-0007

• Języki publikacji: EN

Abstrakty

EN

The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan centralizer map on a triangular algebra.

Słowa kluczowe

EN

Jordan centralizer maps; trivial extension algebra; triangular algebra

PL

centralizator Jordana; algebra; rozszerzenie

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 58--66
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Bahmani Mohammad Ali

• Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

autor

Ghomanjani Fateme

• Department of Mathematics, Kashmar Higher Education Institute, Kashmar, Iran

autor

Shateyi Stanford

• Department of Mathematics, University of Venda, P Bag X5050, Thohoyandou 0950, South Africa

Bibliografia

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• [3] B. Zalar, On centralizers of semiprime rings, Comment Math. Univ. Carollinae 32 (1991), 609-614.
• [4] H. Ghahramani, Jordan derivations on trivial extensions, Bull. Iranian Math. Soc. 39 (2013), no. 4, 635-645.
• [5] A. H. Mokhtari, F. Moafian, and M. R. E. Vishki, Lie derivations on trivial extensions algebras, Ann. Math. Sil. 31 (2017), 141-153, DOI: 10.1515/amsil-2016-0017.
• [6] M. A. Bahmani, D. Bennis, H. R. Ebrahimi Vishki, A. Erfanian Attar, and B. Fahid, Jordan generalized derivations on trivial extension algebras, Commun. Korean Math. Soc. 33 (2018), 721-739, DOI: 10.4134/CKMS.c170284.
• [7] W. S. Cheung, Commuting maps of triangular algebras, J. London Math. Soc. 63 (2001), 117-127, DOI: 10.1112/ S0024610700001642.
• [8] W. S. Cheung, Lie derivations of triangular algebras, Linear Multilinear Algebra 51 (2003), 299-310, DOI: 10.1080/ 0308108031000096993.
• [9] X. F. Qi and J. G. Hou, Characterizing centralizers and generalized derivations on triangular algebras by acting on zero product, Acta Math Sin. 29 (2013), no. 7, 1245-1256, DOI: 10.1007/s10114-013-2068-5.
• [10] D. Bennis and B. Fahid, Derivations and the first cohomology group of trivial extension algebras, Mediterr. J. Math. 14 (2017), no. 4, 16-40, DOI: 10.1007/s00009-017-0949-z.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).