Nil algebras with nonradical tensor square
HTML articles powered by AMS MathViewer
- by Edmund R. Puczyłowski PDF
- Proc. Amer. Math. Soc. 103 (1988), 401-403 Request permission
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
- A. Z. Anan′in, A nil algebra with nonradical tensor square, Sibirsk. Mat. Zh. 26 (1985), no. 2, 192–194, 224 (Russian). MR 788345
- E. S. Golod, On nil-algebras and finitely approximable $p$-groups, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 273–276 (Russian). MR 0161878
- Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264, DOI 10.1090/coll/037
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 401-403
- MSC: Primary 16A22; Secondary 15A72
- DOI: https://doi.org/10.1090/S0002-9939-1988-0943055-2
- MathSciNet review: 943055