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On $τ$ -extending modules

Y. Talebi; R. Mohammadi — 2016

Commentationes Mathematicae Universitatis Carolinae

In this paper we introduce the concept of $τ$ -extending modules by $τ$ -rational submodules and study some properties of such modules. It is shown that the set of all $τ$ -rational left ideals of $_{R} R$ is a Gabriel filter. An $R$ -module $M$ is called $τ$ -extending if every submodule of $M$ is $τ$ -rational in a direct summand of $M$ . It is proved that $M$ is $τ$ -extending if and only if $M = R e j_{M} E (R / τ (R)) \oplus N$ , such that $N$ is a $τ$ -extending submodule of $M$ . An example is given to show that the direct sum of $τ$ -extending modules need not be $τ$ -extending....

A note on $D_{11}$ -modules.

Talebi, Y.; Veylaki, M. — 2008

The Journal of Nonlinear Sciences and its Applications

When is a quasi-p-projective module discrete?

Talebi, Y.; Khalili Gorji, I. — 2008

The Journal of Nonlinear Sciences and its Applications

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