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Literature Cited
G. M. Bergman and I. M. Isaacs, “Rings with fixed-point-free group actions,” Proc. London Math. Soc.,27, 69–87 (1973).
V. K. Kharchenko, “Galois extensions and rings of quotients,” Algebra Logika,13, No. 4, 460–484 (1974).
G. Higman, “Groups and rings which have automorphisms with no nontrivial fixed elements,” J. London Math. Soc.,31, 321–334 (1957).
E. M. Paterson, “On regular automorphisms of certain classes of rings,” Quart. J. Math.,2, No. 12, 127–133 (1961).
W. S. Martindale III and S. Montgomery, “Fixed elements of Jordan automorphisms of associative rings,” Pac. J. Math.,72, No. 1, 181–196 (1977).
K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Nearly Associative Rings [in Russian], Nauka, Novosibirsk (1978).
E. I. Zel'manov, “On prime Jordan algebras. II,” Sib. Mat. Zh.,24, No. 1, 89–104 (1983).
B. D. Smith, “A standard Jordan polynomial,” Commun. Algebra,5, No. 2, 207–218 (1977).
I. N. Herstein, Topics in Ring Theory, University of Chicago Press (1969).
S. A. Amitsur, “Rings with involution,” Usrael J. Math.,6, No. 2, 99–106 (1968).
E. I. Zel'manov, “On the solvability of nil-bounded index of Jordan algebras. Varieties of algebraic systems,” Preprint, Academy of Sciences of the USSR, Siberian Branch with Computation Center, Novosibirsk (1986).
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Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 1, pp. 207–211, January–February, 1991.
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Semenov, A.P. Subrings of invariants of a finite group of automorphisms of a Jordan ring. Sib Math J 32, 169–172 (1991). https://doi.org/10.1007/BF00970181
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DOI: https://doi.org/10.1007/BF00970181