Medial and distributively generated near-rings (Q923702)
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scientific article; zbMATH DE number 4171162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Medial and distributively generated near-rings |
scientific article; zbMATH DE number 4171162 |
Statements
Medial and distributively generated near-rings (English)
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1990
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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.
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fully invariant groups
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d.g. near-rings
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subdirectly irreducible near- rings
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additive groups
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locally nilpotent
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