Let F q be a finite field with order q, Q 4 n the generalized quaternion group with 4 n
elements, and gcd (4 n, q)= 1. Firstly, central (right) irreducible idempotents of F q [Q 4 n] are …

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 …

An associative ring with unity is called clean if each of its elements is the sum of an
idempotent and a unit. A clean ring with involution∗ is called∗-clean if each of its elements …

A ring $ R $ is called semiclean if every element of $ R $ can be expressed as sum of a
periodic element and a unit. In this paper, we introduce a new class of ring, which is the $\ast …

A ring R is said to be clean if each element of R can be written as the sum of a unit and an
idempotent. In a recent article (J. Algebra, 405 (2014), 168-178), Immormino and McGoven …

Let G be a finite abelian group and F q 2 be a finite field of order q 2. The conjugate
involution⁎ is defined by⁎: F q 2 G→ F q 2 G,∑ rgg↦∑ rgqg− 1. In this paper, we …

Abstract Recently, Tang et al.[12](resp. Wu et al.[15]) obtained a necessary and sufficient
condition for a finite commutative group ring FG to be a⁎-clean ring under the classical …

A ring with involution∗ is called∗-clean if each of its elements is a sum of a unit and a
projection (∗-invariant idempotent). If R is a ring, by a linear extension of an involution∗ in a …