An example of a chain prime ring with nilpotent elements. (English) Zbl 0543.16003

Dubrovin, N. I.

Math. USSR, Sb. 48, 437-444 (1984).

Translation from Mat. Sb., Nov. Ser. 120(162), No.3, 441-447 (Russian) (1983; Zbl 0517.16002).

MSC:

16N60	Prime and semiprime associative rings
16Dxx	Modules, bimodules and ideals in associative algebras
16S34	Group rings
16Kxx	Division rings and semisimple Artin rings
16P10	Finite rings and finite-dimensional associative algebras

Keywords:

chain rings; right ordered groups; chain domains; group algebras; skew fields; chain prime quotient rings with nilpotent elements; chain simple radical rings; zero divisors

Citations:

Zbl 0333.16018; Zbl 0517.16002