The unit group of the group ring over ℤ <sub>n</sub> (Q6600700)
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scientific article; zbMATH DE number 7909481
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The unit group of the group ring over ℤ <sub>n</sub> |
scientific article; zbMATH DE number 7909481 |
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The unit group of the group ring over ℤ <sub>n</sub> (English)
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10 September 2024
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As usual, let \(\mathbb{Z}_n\cong \mathbb{Z}/(n)\) denote the ring of integers modulo the principal ideal \((n)\) for some arbitrary but fixed natural number \(n\geq 2\). The article under review deals with a description of the structure of some special versions of the unit group of the group ring over \(\mathbb{Z}_n\). In fact, the main result in this paper is stated and proved as Theorem 2.1. Additional results are Theorem 2.2; Theorems 3.1, 3.2 as well as Theorems 4.1 and 4.2.
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