Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39520131015G-positive and G-repositive solutions to some adjointable operator equations over Hilbert C^{∗}-modules971992455ENG. J.SongUniversity of Weifang, P. R. ChinaJournal Article20110702Some necessary and sufficient <br />conditions are given for the existence of a G-positive <br />(G-repositive) solution to adjointable operator equations <br />$AX=C,AXA^{left( astright) }=C$ and $AXB=C$ over Hilbert <br />$C^{ast}$-modules, respectively. Moreover, the expressions of these <br />general G-positive (G-repositive) solutions are also derived. Some <br />of the findings of this paper extend some known results in the <br />literature.http://bims.iranjournals.ir/article_455_cdee254edff96f8755573457f8b11ff8.pdf