Centralizer near-rings determined by PID-modules, II
Copyright policy ) Fuchs, P.; Maxson, C. J.; van der Walt, A. P. J.; Kaarli, K.;
Centralizer near-rings determined by PID-modules, II
[For part I cf. Arch. Math. 56, No. 2, 140-147 (1991; Zbl 0706.16026).] The authors answer an open problem in radical theory by giving an example of a zero-symmetric simple near-ring with identity such that \(J_ 2(N) = N\). This is in contrast to the situation for rings, since every simple ring with identity is semisimple in the sense of Jacobson.
- The University of Texas System United States
- Johannes Kepler University of Linz Austria
- University of Tartu Estonia
- Stellenbosch University South Africa
- Texas A&M University United States
Near-rings, radical theory, Simple and semisimple modules, primitive rings and ideals in associative algebras, Jacobson radical, quasimultiplication, zero-symmetric simple near-ring
Near-rings, radical theory, Simple and semisimple modules, primitive rings and ideals in associative algebras, Jacobson radical, quasimultiplication, zero-symmetric simple near-ring
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