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Russian Mathematical Surveys, 2004, Volume 59, Issue 3, Pages 403–428
DOI: https://doi.org/10.1070/RM2004v059n03ABEH000735 (Mi rm735) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Functional identities in rings and their applications

K. I. Beidara, A. V. Mikhalevb, M. A. Chebotarc

a National Cheng Kung University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Tula State University
English version PDF (388 kB) Citations (21)
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DOI: https://doi.org/10.1070/RM2004v059n03ABEH000735
Abstract: In the present survey the main results of the theory of functional identities are presented and an analysis of the current state of this theory is given. Applications obtained in this direction include the solution of all the Herstein problems concerning maps of Lie type, the description of Lie-admissible multiplications, and characterizations of commutativity-preserving maps and of maps preserving normal elements.
Received: 15.09.2003
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 3(357), Pages 3–30
DOI: https://doi.org/10.4213/rm735
Bibliographic databases:
Document Type: Article
UDC: 512.552
MSC: Primary 16R50, 17A30; Secondary 16W10, 17D25, 16N60, 17B60, 17C50, 17A05, 17A20
Language: English
Original paper language: Russian
Citation: K. I. Beidar, A. V. Mikhalev, M. A. Chebotar, “Functional identities in rings and their applications”, Uspekhi Mat. Nauk, 59:3(357) (2004), 3–30; Russian Math. Surveys, 59:3 (2004), 403–428
Citation in format AMSBIB
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:90
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