The inverse along a lower triangular matrix

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摘要

In this paper, we investigate the recently defined notion of inverse along an element in the context of matrices over a ring. Precisely, we study the inverse of a matrix along a lower triangular matrix, under some conditions.

论文关键词：Generalized inverse,Inverse along an element,Dedekind-finite ring,Green’s relations,Rings

论文评审过程：Available online 31 July 2012.

论文官网地址：https://doi.org/10.1016/j.amc.2012.06.060