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 ...
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 ...
1 College of Science, Guilin University of Technology, Guilin, China. 2 School of Science, Guilin University of Aerospace Technology, Guilin, China. This paper aims at investigating relative Ding ...
A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a construction of a first ...
Our purpose in these notes is to present a result for a specific Nakayama Algebra. In essence, it affirms that for any order of simple modules, the cyclic Nakayama Algebras with relations (i.e. ) are ...
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 ...