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Maximal subrings of certain non-commutative rings
Alborz Azarang
The existence of maximal subrings in certain non-commutative rings, especially in rings which are integral over their centers, are investigated. We prove that if a ring is inte…
Maximal subrings of division rings
Alborz Azarang
The structure and the existence of maximal subrings in division rings are investigated. We see that if is a maximal subring of a division ring with center and $N(R)\neq…
Classical ideals theory of maximal subrings in non-commutative rings
Alborz Azarang
Let be a maximal subring of a ring . In this paper we study relation between some important ideals in the ring extension . In fact, we would like to find some…
The conductor ideals of maximal subrings in non-commutative rings
Alborz Azarang
Let be a maximal subring of a ring , and , and denote the greatest ideal, left ideal and right ideal of which are contained in , respective…