Medial and distributively generated near-rings
Copyright policy )Medial and distributively generated near-rings
It is shown that fully invariant groups play a role in the structure of near-rings, especially in d.g. near-rings. Properties of these additive groups are then used to obtain results about d.g., medial, or subdirectly irreducible near-rings or about near-rings whose additive groups are locally nilpotent. This extends the authors' results [in Monatsh. Math. 107, 89-110 (1989; Zbl 0685.16021)]. Some minor errors in the previous paper are corrected.
- Sewanee: The University of the South United States
- University of the Southwest United States
- DigiZeitschriften Germany
Near-rings, 510.mathematics, Generalizations of solvable and nilpotent groups, d.g. near-rings, additive groups, locally nilpotent, fully invariant groups, Article, subdirectly irreducible near- rings
Near-rings, 510.mathematics, Generalizations of solvable and nilpotent groups, d.g. near-rings, additive groups, locally nilpotent, fully invariant groups, Article, subdirectly irreducible near- rings
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