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 …

In this paper, using finite topologies defined on the algebra of linear operators, we
investigate centralizers and double centralizers of locally algebraic linear operators. In …

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

[2] Êî÷ åòîâà ÞÂ Декартова сумма решеточно K-упорÿдоченных алгебр//× ебышевский
сборник. 2012. Т. 13, Вып. 1. С. 92-101.[3] Êî÷ åòîâà ÞÂ, Øèðøîâà ÅÅ Первичный радикал …

In the present paper, we study formal matrix rings over a given ring and determinants of such
matrices. In Secs. 1–4, some general properties of formal matrix rings are presented. In …

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

A module M over a commutative ring R has an almost trivial dual if there is no
homomorphism from M onto a free R-module of countable infinite rank. Using a new …

Let A be an E∞-ring over the rational numbers. If A satisfies a noetherian condition on its
homotopy groups π⁎(A), we construct a collection of E∞-A-algebras that realize on …

In this paper, we consider the endomorphism algebra of an infinitely generated tilting
module of the form R 𝒰⊕ R 𝒰/R over a tame hereditary k-algebra R with k an arbitrary field …