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Reveals new characterizations of strongly nil clean rings, suggesting advancements in the understanding of generalized inverses.
In this paper, we give a further study of strongly nil [Formula: see text]-clean rings. Some new characterizations and extension properties of strongly nil [Formula: see text]-clean rings are provided. Furthermore, motivated by the notion of strong Drazin inverses, we introduce a new type of generalized inverse which is closely related to strongly nil [Formula: see text]-clean elements, and we present basic properties and structures of this type of inverse.
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Cui et al. (2026) studied this question.
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