On the decomposition of noncosingular $sum$-lifting modules

نویسنده

  • T. Amouzegar‎ Department of‎ ‎Mathematics, Quchan University of Advanced Technology, Quchan‎, ‎Iran.
چکیده مقاله:

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 $M=oplus_{iin I} M_i$‎,‎where each $M_i$ is noetherian quasi-projective and each‎‎endomorphism ring $End(M_i)$ is local‎.

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on the decomposition of noncosingular $sum$-lifting modules

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 $m=oplus_{iin i} m_i$‎,‎where each $m_i$ is noetherian quasi-projective and each‎‎endomorphism ring $end(m_i)$ is local‎.

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عنوان ژورنال

دوره 42  شماره 1

صفحات  43- 48

تاریخ انتشار 2016-02-01

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