This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

For a ring R, we investigate and determine “minimal” right essential overrings (right ring
hulls) belonging to certain classes which are generated by R and subsets of the central …

Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 26, Issue 1 1984 Article 23 JANUARY 1984 On non-commutative …

Denote the 2× 2 upper triangular matrix rings over ℤ and ℤp by UTM2 (ℤ) and UTM2 (ℤp),
respectively. We prove that if a ring R is a pp‐ring, then R is reduced if and only if R does not …

Let V be a module with S= End (V). V is called a quasi-Baer module if for each ideal J of S, r
V (J)= e V for some e 2= e∈ S. On the other hand, V is called a Rickart module if for each …

Introduction. In [3], GM Bergman gave characterizations of semihe-reditary and hereditary
commutative rings in terms of their Pierce stalks. In preparation for these, he also gave …

This article concerns a ring property called pseudo-reduced-over-center that is satisfied by
free algebras over commutative reduced rings. The properties of radicals of pseudo-reduced …

Reduced pp‐rings without identity Page 1 REDUCED PP-RINGS WITHOUT IDENTITY
XIAOJIANG GUO AND KP SHUM Received 16 March 2006; Accepted 19 March 2006 We give …

We consider Baer rings and Baer semisimple $ R $-modules which are generalizations of
semisimple modules. Several characterization theorems of Baer semisimple modules are …