نتایج جستجو برای: quasi baer module
تعداد نتایج: 150364 فیلتر نتایج به سال:
Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S=$ End$_R(M)$. The module $M$ is called {it Rickart} if for any $fin S$, $r_M(f)=Se$ for some $e^2=ein S$. We prove that some results of principally projective rings and Baer modules can be extended to Rickart modules for this general settings.
let $r$ be an arbitrary ring with identity and $m$ a right $r$-module with $s=$ end$_r(m)$. the module $m$ is called {it rickart} if for any $fin s$, $r_m(f)=se$ for some $e^2=ein s$. we prove that some results of principally projective rings and baer modules can be extended to rickart modules for this general settings.
for the subclasses ${mathcal m}_1$ and ${mathcal m}_2$ ofmonomorphisms in a concrete category $mathcal c$, if ${mathcalm}_2subseteq {mathcal m}_1$, then ${mathcal m}_1$-injectivityimplies ${mathcal m}_2$-injectivity. the baer type criterion is about the converse of this fact. in this paper, we apply injectivity to the classes of {it $c$-dense, $c$-closed} monomorphisms. ...
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