Generalized Hirano inverses in rings

2017/07/28 by Abdolyousefi, Marjan Sheibani, Huanyin Chen, Chen, Huanyin
Computer Science · Mathematics · #Matrix Theory and Algorithms #Algebraic and Geometric Analysis #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1707.09389

Abstract

We introduce and study a new class of generalized inverse in rings. An element a in a ring R has generalized Hirano inverse if there exists some b∈ R such that bab=b, b∈ comm²(a), a²-ab ∈ R^qnil

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