M. Zahiri

collaborators

4 papers

math.RA2025

Jordan Derivation On Generalized Triangular Matrix Rings

Peter Danchev, Ayda Fatehi, Masoome Zahiri +1

In this note, we prove that any Jordan derivation on the generalized matrix ring $T_{n} (R, M)$ is a derivation. This extends some well-known results of this branch due to BreÅ¡ar et a…

math.RA2025

Rings for Which f.g. Projective Modules Have the FI-extending Property

Peter Danchev, M. Zahiri, S. Zahiri

A right $R$ -module $M$ is said to be {\it FI-extending} if any fully invariant submodule of $M$ is essential in a direct summand of $M$ . In this short note we prove that if $R$ has…

math.RA2025

Skew Generalized Power Series Rings With the McCoy Property

Peter Danchev, M. Zahiri, S. Zahiri

Let $R$ be a ring, $(S, ⪯)$ a strictly totally ordered monoid and suppose also $I ¨ : S \to End (R)$ is a monoid homomorphism. A skew generalized power series ring $…

math.RA2025

Some New Classes of Rings Which Have the McCoy Condition

Peter Danchev, M. Zahiri

We define here the notion of a {\it weakly reversible ring} $R$ saying that a non-zero element $a \in R$ is weakly reversible if there exists an integer $m > 0$ depending on $a$ such…