On the decomposition of noncosingular $\sum$-lifting modules

Document Type: Research Paper

Author

Department of‎ ‎Mathematics, Quchan University of Advanced Technology, Quchan‎, ‎Iran.

Abstract

Let $R$ be a right artinian ring or a perfect commutative‎
‎ring‎. ‎Let $M$ be a noncosingular self-generator $\sum$-lifting‎
‎module‎. ‎Then $M$ has a direct decomposition $M=\oplus_{i\in I} M_i$‎,
‎where each $M_i$ is noetherian quasi-projective and each‎
‎endomorphism ring $End(M_i)$ is local‎.

Keywords

Main Subjects