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math.RA2020
Centrally Essential Torsion-Free Rings of Finite Rank
Oleg Lyubimtsev, Askar Tuganbaev
It is proved that centrally essential rings, whose additive groups of finite rank are torsion-free groups of finite rank, are quasi-invariant but not necessarily invariant. Torsion…
math.RA2020
Local Centrally Essential Subalgebras of Triangular Algebras
O. V. Lyubimtsev, A. A. Tuganbaev
We study local centrally essential subalgebras in the algebra of all upper triangular matrices over a field of characteristic . It is proved that the algebras of upper trian…