文章基本信息

标题：Periodic rings with finitely generated underlying group
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作者：R. Khazal ; S. Dăscălescu
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2004
卷号：2004
期号：36
页码：1887-1892
DOI：10.1155/S0161171204310422
出版社：Hindawi Publishing Corporation
摘要：
We study periodic rings that are finitely generated as groups. We prove several structure results. We classify periodic rings that are free of rank at most 2, and also periodic rings R such that R is finitely generated as a group and R / t ( R ) ≃ ℤ . In this way, we construct new classes of periodic rings. We also ask a question concerning the connection to periodic rings that are finitely generated as rings.