Matrices play an important role in both pure and applied mathematics. Matrices with entries
in rings have been intensively studied and used (eg, see [22, 87]); as well as matrices with …

This work contains some new and known results on modules over formal matrix rings. The
main results are presented with proofs. In ring theory, various matrix rings play an important …

Большое значение матриц для математики и её приложений общеизвестно. Прежде
всего это относится к числовым матрицам. Активно изучаются и используются также …

Модули над кольцами формальных матриц Page 1 Модули над кольцами формальных
матриц ∗ ПАКРЫЛОВ Томский государственный университет e-mail: krylov@math.tsu.ru …

A classical problem in ring theory is to study conditions under which a ring is forced to
become commutative. Stimulated from Jacobson's famous result, several techniques are …

In the present note, we use a pair of rings, which are the ingredients of a Morita context, and
obtain that if one of the ring is prime with the generalized (α, β)-derivations that satisfy …

If two rings are ingredients of a semi-projective Morita context, in which one ring is
commutative and the other is reduced, then it is shown here that the reduced ring will also …

GROTHENDIECK AND WHITEHEAD GROUPS OF FORMAL MATRIX RINGS PA Krylov and
AA Tuganbaev UDC 512.55 Page 1 Journal of Mathematical Sciences, Vol. 223, No. 5, June …

Reduced Rings and Modules Arising from Morita Contexts Page 1 International Journal of
Algebra, Vol. 16, 2022, no. 3, 97 - 108 HIKARI Ltd, www.m-hikari.com https://doi.org/10.12988/ija.2022.91725 …

Sum of two nilpotent elements in a ring may not be nilpotent in general, but for commutative
rings this sum is nilpotent. In between commutative and non-commutative rings there are …