On weak dual Rickart modules and dual Baer modules

R Tribak - Communications in Algebra, 2015 - Taylor & Francis
We introduce and study the notion of wd-Rickart modules (ie modules M such that for every
nonzero endomorphism ϕ of M, the image of ϕ contains a nonzero direct summand of M) …

Dual rickart modules

G Lee, ST Rizvi, CS Roman - Communications in algebra, 2011 - Taylor & Francis
Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

[PDF][PDF] Purely baer modules and purely rickart modules

SE Atani, M Khoramdel… - Miskolc Mathematical …, 2018 - mat76.mat.uni-miskolc.hu
We introduce the notions of purely Baer and purely Rickart modules. We provide several
characterizations and investigate properties of each of these concepts. We provide new …

On Rickart modules

N Agayev, S Halıcıoğlu, A Harmancı - 2012 - acikerisim.fsm.edu.tr
We investigate some properties of Rickart modules defined by Rizvi and Roman. Let R be
an arbitrary ring with identity and M be a right R-module with S= EndR (M). A module M is …

-Rickart Modules

G Lee, ST Rizvi, CS Roman - Communications in Algebra, 2015 - ingentaconnect.com
It is well known that the Rickart property of rings is not a left-right symmetric property. We
extend the notion of the left Rickart property of rings to a general module theoretic setting …

𝔏-Rickart modules

G Lee, ST Rizvi, CS Roman - Communications in Algebra, 2015 - Taylor & Francis
It is well known that the Rickart property of rings is not a left-right symmetric property. We
extend the notion of the left Rickart property of rings to a general module theoretic setting …

On weak Rickart modules

D Keskin Tütüncü, N Orhan Ertaş… - Journal of Algebra and Its …, 2017 - World Scientific
We introduce and study the notion of w-Rickart modules (ie modules M such that for every
nonzero endomorphism φ of M, the kernel of φ is contained in a proper direct summand of …

On dual Baer modules

DK Tütüncü, PF Smith, SE Toksoy - Contemp. Math, 2014 - books.google.com
In this note we prove that any ring R is right cosemihereditary if and only if every finitely
cogenerated injective right R-module is d-Rickart. Let M be a module. We prove that if M is a …

Rickart modules

G Lee, S Tariq Rizvi, CS Roman - Communications in Algebra, 2010 - Taylor & Francis
The concept of right Rickart rings (or right pp rings) has been extensively studied in the
literature. In this article, we study the notion of Rickart modules in the general module …

s. Baer and s. Rickart modules

GF Birkenmeier, RL LeBlanc - Journal of Algebra and Its …, 2015 - World Scientific
In this paper, we study module theoretic definitions of the Baer and related ring concepts.
We say a module is s. Baer if the right annihilator of a nonempty subset of the module is …