Journal article
A note on a theorem of Jacobson related to periodic rings
Proceedings of the American Mathematical Society, Vol.148, pp. 5087-5089
2020
DOI: 10.1090/proc/15246
Abstract
We show that if R is a ring such that for each x ∈ R there exist two natural numbers n(x) and m(x) of opposite parity with xn(x) = xm(x), then R is commutative. This extends the classical famous theorem of Jacobson [Ann. of Math. 46 (1945), p. 695–707] for commutativity of potent rings. © 2020 American Mathematical Society
Details
- Title: Subtitle
- A note on a theorem of Jacobson related to periodic rings
- Creators
- D.D. Anderson - University of IowaP.V. Danchev - Bulgarian Academy of Sciences
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.148, pp. 5087-5089
- Publisher
- American Mathematical Society
- DOI
- 10.1090/proc/15246
- ISSN
- 0002-9939
- Grant note
- DOI: 10.13039/501100003336, name: Bulgarian National Science Fund, award: KP-06 No 32/01 of Dec. 07, 2019
- Language
- English
- Date published
- 2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984230422102771
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