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 …

This paper consists of three parts. The first is devoted to investigating the equivalence and
left-right symmetry of several conditions known to characterize finite dimensional algebras …

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

Let R be a ring with identity. RM Thrall defined a QF-3 algebra in [3] and many authors
defined QF-3 rings and studied them (cf.[10]). R is called right QF-3 if R has a minimal a …

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

Let R be a ring with identity. R is left QF-3 if R has a minimal faithful (left) module, ie, a
faithful (left) module, which is (isomorphic to) a summand of every faithful (left) module. We …

We are familiar to study rings S with identity if we are interested in homological method on
the ring theory. On the other hand, it seems for us that the theory of categories is some kind …

In the previous paper [5] the author has studied semi-primary left (resp. right) QF-3 rings,
which is a ring A with the following property: there exists a faithful, projective, injective left …

Mochizuki has considered a hereditary QF-3 algebra in [6]. In this note we shall study a PP-
ring with minimal condition or of semi-primary. To this purpose we generalize a notion of QF …