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Keywords

Rings, Absorption law, Generalized inverses

Abstract

In this paper, it is given equivalent conditions for the absorption laws in terms of the Moore-Penrose, group, core inverse, core inverse dual, {1}, {1,2}, {1,3}, and {1,4} inverses in rings. The results given here extend the results of [X. Liu, H. Jin, and D.S. Cvetkovi´c-Ili´c. The absorption laws for the generalized inverses. Appl. Math. Comp., 219:2053–2059, 2012].

abs_vol30_pp827-842.pdf (27 kB)
Abstract

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Algebra Commons

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