A. Azarang

activity

20242026

collaborators

4 papers

math.RA2026

Non-commutative rings with infinitely many maximal subrings

Alborz Azarang

We study rings with infinitely (only finitely) many maximal subrings. We prove that if $M$ is a maximal left/right ideal of a ring $T$ which is not an ideal of $T$ , and $R$ is the…

math.RA2026

Similar submodules of projective modules

Alborz Azarang

We introduce a similarity relation between submodules of a module $M$ over a ring $R$ , extending the classical notion of similarity for right ideals. Focusing on (faithfully) proje…

math.RA2025

Classical ideals theory of maximal subrings in non-commutative rings

Alborz Azarang

Let $R$ be a maximal subring of a ring $T$ . In this paper we study relation between some important ideals in the ring extension $R \subseteq T$ . In fact, we would like to find some…

math.RA2024

The conductor ideals of maximal subrings in non-commutative rings

Alborz Azarang

Let $R$ be a maximal subring of a ring $T$ , and $(R : T)$ , $(R : T)_{l}$ and $(R : T)_{r}$ denote the greatest ideal, left ideal and right ideal of $T$ which are contained in $R$ , respective…