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 …

Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

HEREDITARY CS-MODULES Page 1 MATH. SCAND. 71 (1992), 173-180 HEREDITARY
CS-MODULES NGUYEN V. DUNG and PATRICK F. SMITH In [13], [14], ΒLOsofsky proved …

Let R be a commutative ring. An R—module M is said to satisfy property (I) if every injective
endomorphism of M is an automorphism. R is called a FGI—ring if every R—module with …

In the 2000s, Sadofsky constructed a spectral sequence which converges to the mod $ p $
homology groups of a homotopy limit of a sequence of spectra. The input for this spectral …

New Characterization of σ-Injective Modules Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 136, Number 10, October 2008, Pages 3461-3466 S …

It is well-known that the Steenrod algebra $ A $ is self-injective as a graded ring. We make
the observation that simply changing the grading on $ A $ can make it cease to be self …

It is well known that a countably injective module is Σ-injective. In [KI Beidar, SK Jain, Ashish
K. Srivastava, New characterization of Σ-injective modules, Proc. Amer. Math. Soc. 316 …

It was shown in [7] that if M is a X-CS module, ie, a module such that every direct sum of
copies of M is CS, then M is a direct sum of uniform modules. Moreover, these uniform …