References
H. Abu-Khuzam andA. Yaqub,n-torsion free rings with commuting powers. Math. Japonica25, 37–42 (1980).
R. Awtar, On the commutativity of non-associative rings. Publ. Math. Debrecen2, 177–188 (1975).
H. E. Bell, On rings with commuting powers. Math. Japonica24, 473–478 (1979).
B. Corbas, Rings with few zero divisors. Math. Ann.81, 1–7 (1969).
I. N. Herstein, A commutativity theorem. J. Algebra38, 238–241 (1978).
Y. Hirano, Y. Kobayashi andH. Tomonaga, Some polynomial identities and commutativity ofs-unital rings. Math. J. Okayama Univ.24, 7–13 (1982).
T. P. Kezlan, Rings in which certain subsets satisfy polynomial identities. Trans. Amer. Math. Soc.125, 414–421 (1966).
Y. Kobayashi, A note on commutativity of rings. Math. J. Okayama Univ.23, 141–145 (1981).
Y. Kobayashi, On 3-torsion free rings in which every cube commutes with each other. Acta Math. Acad. Sci. Hung.45, 297–300 (1985).
A. Lihtman, On rings radical over commutative subrings. Math. USSR-Sbornik (N.S.)83, 513–523 (1970).
G. Mason, Reflexive ideals. Comm. Algebra9, 1709–1724 (1981).
B. R.McDonald, Finite Rings with Identity. New York 1974.
W. K. Nicholson andA. Yacub, On the commutativity theorem for rings and groups. Canad. Math. Bull.22, 419–423 (1979).
E. Psomopoulos, Commutativity theorem for rings with commuting powers. Glasnik Mat.39, 35–38 (1984).
R. Raghavendran, Finite associative rings. Compositio Math.21, 195–229 (1969).
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To Professor Hisao Tominaga on his 60th birthday
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Kobayashi, Y. Rings with commutingn-th powers. Arch. Math 47, 215–221 (1986). https://doi.org/10.1007/BF01191996
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DOI: https://doi.org/10.1007/BF01191996