ON THE DECOMPOSITION OF EXTENDING LIFTING MODULES
نویسندگان
چکیده
منابع مشابه
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.
متن کاملon 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.
متن کاملGENERALIZATIONS OF delta-LIFTING MODULES
In this paper we introduce the notions of G∗L-module and G∗L-module whichare two proper generalizations of δ-lifting modules. We give some characteriza tions and properties of these modules. We show that a G∗L-module decomposesinto a semisimple submodule M1 and a submodule M2 of M such that every non-zero submodule of M2 contains a non-zero δ-cosingular submodule.
متن کاملProjective maximal submodules of extending regular modules
We show that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of Dung and Smith. As another consequen...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2009
ISSN: 1015-8634
DOI: 10.4134/bkms.2009.46.6.1069