The study of Gorenstein algebras has emerged as a cornerstone of modern algebra, offering a powerful paradigm in which duality and symmetry in module theory can be rigorously examined. These algebras ...
Abstract: Aimed at that available application of smooth homomorphism is around the comparison of two smooth modulus with each other and any of its application to construct new smooth modulus has not ...
Gorenstein Homological Algebra is an advanced branch of algebra that refines classical homological methods by introducing Gorenstein projective, injective, and flat modules. These concepts extend ...