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In this work, the notion of semi-injectivity of systems has been introduced and studied, which is a generalization of quasi-injectivity. We obtain a characterization of semi-injectivity analogous to that of quasiinjectivity. Certain class of subsystems which inheret this property have been considered. Finally, we studied the linear equation systems on this kind of injectivity. Mathematics Subject Classication: primary 20M30, secondary 20M99
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Abbas et al. (2014) studied this question.
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