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Proceedings of the American Mathematical Society

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Nil algebras with nonradical tensor square


Author: Edmund R. Puczyłowski
Journal: Proc. Amer. Math. Soc. 103 (1988), 401-403
MSC: Primary 16A22; Secondary 15A72
MathSciNet review: 943055
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Abstract: The paper contains some simple observations on the tensor square of algebras. Applied to the well-known Golod examples, they allow us to produce nil algebras with nonradical tensor square.


References [Enhancements On Off] (What's this?)

  • [1] A. Z. Anan′in, A nil algebra with nonradical tensor square, Sibirsk. Mat. Zh. 26 (1985), no. 2, 192–194, 224 (Russian). MR 788345
  • [2] E. S. Golod, On nil-algebras and finitely approximable 𝑝-groups, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273–276 (Russian). MR 0161878
  • [3] Nathan Jacobson, Structure of rings, American Mathematical Society, Colloquium Publications, vol. 37, American Mathematical Society, 190 Hope Street, Prov., R. I., 1956. MR 0081264

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DOI: https://doi.org/10.1090/S0002-9939-1988-0943055-2
Article copyright: © Copyright 1988 American Mathematical Society