A note on the commutativity of rings

• Autorzy: Andrzejewski, P. , Glanc, B.
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions for commutativity of rings are proved. They generalize or are related to certain old results due to I. N. Herstein and others, see [1] and [5].

Słowa kluczowe

PL

pierścienie podzielne; pierścienie przemienne

EN

commutative ring; division ring; conditions for commutativity

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 299-303
• Opis fizyczny: BIbliogr. 5 poz.

Twórcy

autor

Andrzejewski, P.

autor

Glanc, B.

• Institute of Mathematics University of Szczecin ul. Wielkopolska 15, 70-451 Szczecin 3 , Poland,

Bibliografia

• [1] L. P. Belluce, I. N. Herstein, S. K. Jain, Generalized commutative rings, Nagoya Math. J. 27 (1966), 1–5.
• [2] I. N. Herstein, A generalization of a theorem of Jacobson, III, Amer. J. Math. 75 (1953), 105–111.
• [3] I. N. Herstein, A condition for the commutativity of rings, Canad. J. Math. 9 (1957), 583–586.
• [4] I. N. Herstein, Power maps in rings, Michigan Math. J. 8 (1961), 29–32.
• [5] I. N. Herstein, Noncommutative rings, The Carus Mathematical Monographs Vol. 15, The Mathematical Association of America, 1968.