In　this　paper,　we　use　a　new　general　sequence　corresponding　to　a　g-Bessel　sequence　{Lambda(j)　:　j　is　an　element　of　J}　to　characterize　that　{Lambda(j)　:　j　is　an　element　of　J}　are　l(2)({V-j}　j　is　an　element　of　J)-linear　independent,　g-complete　and　a　g-frame.　We　also　use　{Lambda　j　:　j　is　an　element　of　J}　and　the　refinement　{Gamma(ij)Lambda(i)　:　i　is　an　element　of　I,　j　is　an　element　of　J(i)}　to　characterize　each　other　to　be　(near)　exact　g-frames　or　g-Riesz　bases.　Finally,　we　give　several　constructions　and　an　equivalent　characterization　of　Besselian　g-frames　and　near　exact　g-frames.