The Number of Idempotents in Commutative Group Rings of Prime Characteristic
DOI:
https://doi.org/10.5644/SJM.07.2.01Keywords:
Groups, rings, idempotents, indecomposable rings, sets, cardinalitiesAbstract
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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