A ring R is called clean if every element of R is the sum of a unit and an idempotent. Motivated by a question proposed by Lam on the cleanness of von Neumann Algebras, Vaš introduced a more natural concept of cleanness for ⁎-rings, called the ⁎-cleanness. More precisely, a ⁎-ring R is called a ⁎-clean ring if every element of R is the sum of a unit and a projection (⁎-invariant idempotent). Let $\mathbb{F}$ be a finite field and G a finite abelian group. In this paper, we introduce two classes of involutions on group rings of the form $\mathbb{F}G$ and characterize the ⁎-cleanness of these group rings in each case. When ⁎ is taken as the classical involution, we also characterize the ⁎-cleanness of ${\mathbb{F}}_{q}G$ in terms of LCD abelian codes and self-orthogonal abelian codes in ${\mathbb{F}}_{q}G$.

甲环- [R被称为清洁如果每一个元件- [R是一个单元和幂等的总和。受Lam提出的关于冯·诺依曼代数的清洁度的问题的启发，瓦斯介绍了一个更自然的⁎环清洁概念，即clean清洁度。更准确地说，如果R的每个元素都是单位和投影（sum不变幂等）的和，则⁎环R称为clean清洁环。让$\mathbb{F}$是一个有限域，而G是一个有限阿贝尔群。在本文中，我们介绍了以下形式的群环上的两类对合$\mathbb{F}G$并在每种情况下表征这些环的⁎-清洁度。当将⁎作为经典对合时，我们还描述了of的清洁度。${\mathbb{F}}_{q}G$ 根据LCD阿贝尔代码和自正交阿贝尔代码 ${\mathbb{F}}_{q}G$。