نتایج جستجو برای: summand intersection property
تعداد نتایج: 186514 فیلتر نتایج به سال:
A module M is said to have the SIP if intersection of each pair direct summands also a summand M. In this article, we define SIPr and only exact where r left preradical for category right modules. We investigate structural properties SIPr-modules locate implications between other properties. deal with decomposition theory as well SIPr-modules. provide examples by looking at special preradicals.
the class of ads modules with the sip (briefly, $sa$-modules) is studied. various conditions for a module to be $sa$-module are given. it is proved that for a quasi-continuous module $m$, $m$ is a uc-module if and only if $m$ is an $sa$-module. also, it is proved that the direct sum of two $sa$-modules as $r$-modules is an $sa$-module when $r$ is the sum of the annihilators of these...
for the first time nakayama introduced qf-ring. in 1967 carl. faith and elbert a. walker showed that r is qf-ring if and only if each injective right r-module is projective if and only if each injective left r-modules is projective. in 1987 s.k.jain and s.r.lopez-permouth proved that every ring homomorphic images of r has the property that each cyclic s-module is essentialy embeddable in dire...
In this paper, we investigate the modules with the copure intersection property and obtained obtain some related results.
The method of intersection spaces associates rational Poincaré complexes to singular stratified spaces. For a conifold transition, the resulting cohomology theory yields the correct count of all present massless 3-branes in type IIB string theory, while intersection cohomology yields the correct count of massless 2-branes in type IIA theory. For complex projective hypersurfaces with an isolated...
We introduce the notions of T-dual Rickart and strongly T-dual Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that every free (resp. finitely generated free) $R$-module is T-dual Rickart if and only if $overline{Z}^2(R)$ is a direct summand of $R$ and End$(overline{Z}^2(R))$ is a semisimple (resp. regular) ring. It is sho...
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