نتایج جستجو برای: Dual Rickart modules

تعداد نتایج: 212556  

Journal: :bulletin of the iranian mathematical society 0
s. ebrahimi atani department of mathematics, university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran. m. khoramdel department of‎ ‎mathematics, university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran. s. dolati pish hesari department of mathematics, ‎university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran.

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...

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...

Journal: :Iraqi Journal of Science 2021

Journal: :Ukrains’kyi Matematychnyi Zhurnal 2020

A Harmanci S Agayev S Halicioglu,

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.

Journal: :bulletin of the iranian mathematical society 2012
s agayev s halicioglu a harmanci

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.

Journal: :Ibn AL- Haitham Journal For Pure and Applied Science 2018

Journal: :Iraqi Journal of Science 2019

Journal: :Filomat 2021

Let R be a ring with identity, M right R-module and F fully invariant submodule of M. The concept an F-inverse split module has been investigated recently. In this paper, we approach to different perspective, that is, deal notion F-image M, study various properties obtain some characterizations kind modules. By means modules focus on in which submodules are dual Rickart direct summands. way, co...

Journal: :Communications in Algebra 2021

We introduce (dual) strongly relative CS-Rickart objects in abelian categories, as common generalizations of Rickart and extending (lifting) objects. gi...

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