In the present article we consider the papers on the theory of modules reviewed in the
Mathematics section of Referativnyi Zhurnal during 1966–1968. Unless we specify …

Hattori introduced the notion of simple algebras over a commutative ring in [7]. We intend, in
this paper, to get further results about such algebras, restricting the coefficient ring to a …

A ring R with identity is called a left PP-ring if every principal left ideal of R is i?-projective. In
[1] Harada gave. a characterization of semiprimary left PP-rings in terms of his generalized …

In this survey we cover the papers on ring theory reviewed in the Mathematics section of
Referativnyi Zhurnal during 1966-1968, with the exception of Nos. 11 and 12 of 1968, with …

Данная книга является первой, где систематически изучаются формальные матрицы.
Элементы этих матриц принадлежат нескольким (в общем случае разным) кольцам и …

Let R be a ring which is associative and its radical be N. A ring R is called semilocal if R/N is
semisimple. Mochizuki [5] studied the double centralizer of a minimal faithful R-module for …

A well-known result of Eisenbud and Griffith states that if R is a Noetherian prime hereditary
ring then the ring R/I is an Artinian serial ring for all non-zero ideals I of R. There are several …

Throughout this paper, rings are associative with identity but are not necessarily
commutative, and modules are unitary right modules. An adjective which is not proceeded …