Abelian categories and module theory constitute a fundamental framework in modern algebra, offering a robust language and conceptual toolkit for addressing problems that span pure and applied ...

Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...

Researchers in Iran have applied the Stackelberg leadership model to determine whether the creation of a closed-loop solar module supply chain – including panel refurbishing – is feasible. According ...

Let 𝒯 be a triangulated category with triangulation Δ, 𝜉 ⊆ Δ a proper class of triangles and 𝒞 an additive full subcategory of 𝒯 . We provide a method for constructing a proper 𝒞(𝜉)-resolution ...

We introduce and study the concept of α-short modules (a 0-short module is just a short module, i.e., for each submodule N of a module M, either N or $\frac{\mathrm{M}}{\mathrm{N}}$ is Noetherian).