It’s the garage invention that forever changed the doorbell. That Ring chime is instantly recognizable today, but more than a ...

Almost Gorenstein rings and their associated ideals represent an important extension of classical Gorenstein theory within commutative algebra. Occupying an intermediary position between Gorenstein ...

Let I be an ideal of a ring R. Consider the following conditions on R: 1. If X is a finitely generated submodule of a finitely generated projective module P, then X = A ⨁ B where is a summand of P and ...

Let R be a commutative ring with non-zero identity. In this paper, we introduce the concept of weakly J-ideals as a new generalization of J-ideals. We call a proper ideal I of a ring R a weakly ...