论文标题
在偏远兼容环上偏斜PBW扩展的元素类型，Gelfand和强烈的谐波环
On types of elements, Gelfand and strongly harmonic rings of skew PBW extensions over weak compatible rings
论文作者
论文摘要
我们调查并表征了几种元素，例如单位，iDempotents，von Neumann常规，$π$的$π$常规和清洁元素，用于偏离兼容环的偏斜PBW扩展。我们还研究了这些代数家庭的Gelfand和Harmonic环的概念。此处介绍的结果扩展了文献中对多项式类型的交换和非交通性环的相应的结果。
We investigate and characterize several kinds of elements such as units, idempotents, von Neumann regular, $π$-regular and clean elements for skew PBW extensions over weak compatible rings. We also study the notions of Gelfand and Harmonic rings for these families of algebras. The results presented here extend those corresponding in the literature for commutative and noncommutative rings of polynomial type.
