TY - JOUR ID - 739 TI - On the decomposition of noncosingular $\sum$-lifting modules JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Amouzegar‎, T. AD - Department of‎ ‎Mathematics, Quchan University of Advanced Technology, Quchan‎, ‎Iran. Y1 - 2016 PY - 2016 VL - 42 IS - 1 SP - 43 EP - 48 KW - ‎N‎oncosingular module KW - lifting module KW - ‎$\sum$-lifting module DO - N2 - Let $R$ be a right artinian ring or a perfect commutative‎‎ring‎. ‎Let $M$ be a noncosingular self-generator $\sum$-lifting‎‎module‎. ‎Then $M$ has a direct decomposition $M=\oplus_{i\in I} M_i$‎,‎where each $M_i$ is noetherian quasi-projective and each‎‎endomorphism ring $End(M_i)$ is local‎. UR - http://bims.iranjournals.ir/article_739.html L1 - http://bims.iranjournals.ir/article_739_f8dc40182471ca0430235dae48b498b5.pdf ER -