This is the first in a series of papers highlighting the applications of reduced and coreduced
modules. Let R be a commutative unital ring and I be an ideal of R. We show that I-reduced …

Let $ A $ be a commutative unital ring. We prove the MGM equivalence and the Greenless-
May duality in the category of chain complexes of $ A $-modules. This extends the above …

Let $ k $ be a field with characteristic zero, $ R $ be the ring $ k [x_1,\cdots, x_n] $ and $ I $
be a monomial ideal of $ R $. We study the Artinian local algebra $ R/I $ when considered …

Let $ R $ be a commutative unital ring and $ N $ be a submodule of an $ R $-module $ M $.
The submodule $\langle E_M (N)\rangle $ generated by the envelope $ E_M (N) $ of $ N …

In this dissertation, we study the relationships between the notions of a morphic element and
a morphic ring or module on one hand and reduced and regular rings or modules on the …

Sea R un anillo con unidad, Von Neumann llamó a R regular si para todo elemento r en R
existe a en R tal que r= rar. En el presente trabajo se estudian R-módulos M en donde su …

We study endo-reduced modules as modules whose endomorphism rings have no nonzero
nilpotent elements. We characterize their properties for different classes of modules …