Functional identities in~rings and their applications
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 3, pp. 403-428
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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.
@article{RM_2004_59_3_a0,
author = {K. I. Beidar and A. V. Mikhalev and M. A. Chebotar},
title = {Functional identities in~rings and their applications},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {403--428},
publisher = {mathdoc},
volume = {59},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2004_59_3_a0/}
}
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%0 Journal Article %A K. I. Beidar %A A. V. Mikhalev %A M. A. Chebotar %T Functional identities in~rings and their applications %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2004 %P 403-428 %V 59 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2004_59_3_a0/ %G en %F RM_2004_59_3_a0
K. I. Beidar; A. V. Mikhalev; M. A. Chebotar. Functional identities in~rings and their applications. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 3, pp. 403-428. http://geodesic.mathdoc.fr/item/RM_2004_59_3_a0/