Strongly EP elements which are characterized by projections, a-commutative and w-core inverses in a ring with involution

Abstract

In this paper, we characterize strongly EP elements in a ringwith involution by various methods. Especially we construct projectionswith parameter variables in a specific set to characterize strongly EPelements. Then we introduce the concept of a–commutativity and w–coreinverse to study the charactirization of strongly EP elements.