2 papers
math.RA2026
On minimal noncommutative rings
V. V. Bavula, N. Blacher
We study minimal noncommutative rings, that is noncommutative rings whose proper subrings and homomorphic images are all commutative. These rings were introduced by Bell and Danche…
math.RA2026
Rings whose subrings are all Noetherian or Artinian
Nathan Blacher
We study noncommutative rings whose proper subrings all satisfy the same chain condition. We show that if every proper subring of a ring is right Noetherian, then is either…