Relatively Lifting Modules

اسناد مشابه

• Relatively lifting modules

  سند علمی۲۰۰۷Septimiu Crivei, Nanqing Ding

  We consider a generalization of lifting modules relative to a class A of modules and a proper class E of short exact sequences of modules. These modules will be called E-A-lifting. We establish characterizations of modules with the property that every direct sum of copies of them

• e-lifting modules relative to fully invariant submodules

  مقاله۲۰۱۹Journal of Algebra and Related TopicsF. Alizadeh, M. Hosseinpour, Z. Kamali

  In this paper, we introduce the notion FI-e-lifting modules which is a proper generalization of lifting (e-lifting) modules.Then we give some characterizations and properties of e-lifting and FI-e-lifting modules. We provide a decomposition of any e-lifting modules. It is shown t

• Generalized lifting modules

  سند علمی۲۰۰۶Int. J. Math. Mathematical SciencesYongduo Wang, Nanqing Ding

  We introduce the concepts of lifting modules and (quasi-)discrete modules relative to a given left module. We also introduce the notion of SSRS-modules. It is shown that (1) if M is an amply supplementedmodule and 0→N ′ →N →N ′′ → 0 an exact sequence, then M isN-lifting if and on

• On strongly PI-lifting modules

  مقاله۲۰۲۱Caspian Journal of Mathematical SciencesYeliz Kara

  In this paper, the class of strongly PI-lifting modules is introduced and investigated. The connections between strongly PI-lifting modules and the generalizations of lifting modules are presented. We provide that the class of strongly PI-lifting modules is contained in the class

• LIFTING MODULES WITH RESPECT TO A PRERADICAL

  مقاله۲۰۱۴Journal of Algebraic SystemsT. Amouzegar

  Let $M$ be a right module over a ring $R$, $tau_M$ a preradical on $sigma[M]$, and $Ninsigma[M]$. In this note we show that if $N_1, N_2in sigma[M]$ are two $tau_M$-lifting modules such that $N_i$ is $N_j$-projective ($i,j=1,2$), then $N=N_1oplus N_2$ is $tau_M$-lifting. We inves

• lifting modules with respect to a preradical

  مقاله۲۰۱۴journal of algebraic systemstayyebeh amouzegar

  let $m$ be a right module over a ring $r$, $tau_m$ a preradical on $sigma[m]$, and$ninsigma[m]$. in this note we show that if $n_1, n_2in sigma[m]$ are two$tau_m$-lifting modules such that $n_i$ is $n_j$-projective ($i,j=1,2$), then $n=n_1oplusn_2$ is $tau_m$-lifting. we investig