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math.RA2026
Similar submodules of projective modules
Alborz Azarang
We introduce a similarity relation between submodules of a module over a ring , extending the classical notion of similarity for right ideals. Focusing on (faithfully) proje…
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 is a maximal left/right ideal of a ring which is not an ideal of , and is the…