Strongly $P$ -clean and semi-Boolean group rings

• Date: 2020
• Main Authors: Udar, D., Sharma, R. K., Srivastava, J. B.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2289
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A ring $R$ is called clean (resp., uniquely clean) if every element is (uniquely represented as) the sum of an idempotent and a unit. A ring $R$ is called strongly P-clean if every its element can be written as the sum of an idempotent and a strongly nilpotent element that commute. The class of stro...