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Paper
Title

Maps Preserving Triple Product on Rings

دوفصلنامه مرکز پژوهشی ریاضی ماهانی، دوره: 10، شماره: 2
Year: 1400
COI: JR_KJMMRC-10-2_001
Language: EnglishView: 44
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Authors

Ali Taghavi - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O.Box ۴۷۴۱۶-۱۴۶۸, Babolsar, Iran.
Roja Hosseinzadeh - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P.O.Box ۴۷۴۱۶-۱۴۶۸, Babolsar, Iran.

Abstract:

Let R and R۰ be two unital rings such that R contains a non-trivial idempotent P۱. If R is a prime ring, we characterize the form of bijectivemap ' : R ! R۰ which satis es '(ABP) = '(A)'(B)'(P), for every A;B ۲ Rand P ۲ fP۱; P۲g, where P۲ := I 􀀀 P۱ and I is the unit member of R. It isshown that ' is an isomorphism multiplied by a central element. Finally, wecharacterize the form of ' : R ! R which satis es '(P)'(A)'(P) = PAP,for every A ۲ R and P ۲ fP۱; P۲g.

Keywords:

Paper COI Code

This Paper COI Code is JR_KJMMRC-10-2_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1296086/

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If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Taghavi, Ali and Hosseinzadeh, Roja,1400,Maps Preserving Triple Product on Rings,https://civilica.com/doc/1296086

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  • V. Darvish, N.M. Nazari, H. Rohi, A. Taghavi, Maps preserving ...
  • H. Gao, *-Jordan-triple multiplicative surjective maps on B(H), J. Math. ...
  • L. Gonga, X. Qi, J. Shao, F. Zhang, Strong (skew) ...
  • C. Jianlian, C. Park, Maps preserving strong skew lie product ...
  • P. Li, F. Lu, Nonlinear maps preserving the Jordan triple ...
  • L. Liu, LG.X. Ji, Maps preserving Product X^*Y+ YX^* on ...
  • W.S. Martindale III, When are multiplicative mappings additive?, Proc. Amer. ...
  • L. Moln'{a}r, On isomorphisms of standard operator algebras, Studia Math. ...
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  • A. Taghavi, M. Razeghi, M. Nouri, V. Darvish, Maps preserving ...
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  • A. Taghavi, E. Tavakoli, Additivity of maps preserving Jordan triple ...
  • J.H. Zhang, F.J. Zhang, Nonlinear maps preserving Lie products on ...

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The specifications of the publisher center of this Paper are as follows:
Type of center: دانشگاه دولتی
Paper count: 11,018
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