The Number of Idempotents in Commutative Group Rings of Prime Characteristic
Suppose $R$ is a commutative unitary ring of prime characteristic $p$ and $G$ is a multiplicative abelian group. The cardinality of the set id$(RG)$ consisting of all idempotent elements in the group ring $RG$, is explicitly calculated only in terms associated with $R$ and $G$ or their sections. 2...
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| Veröffentlicht in: | Sarajevo journal of mathematics 2024-06, Vol.7 (2), p.149-152 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Suppose $R$ is a commutative unitary ring of prime characteristic $p$ and $G$ is a multiplicative abelian group. The cardinality of the set id$(RG)$ consisting of all idempotent elements in the group ring $RG$, is explicitly calculated only in terms associated with $R$ and $G$ or their sections. 2010 Mathematics Subject Classification. 16S34, 16U60, 20K20, 20K21 |
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| ISSN: | 1840-0655 2233-1964 |
| DOI: | 10.5644/SJM.07.2.01 |