We prove that any faithful Frobenius functor between abelian categories preserves the
Gorenstein projective dimension of objects. Consequently, it preserves and reflects …

We propose a notion of minimal free resolutions for differential modules, and we prove
existence and uniqueness results for such resolutions. We also take the first steps toward …

Higher differential objects are investigated and used for addressing three general problems.
Torsionless differential modules over path algebras are characterized. The adjoint triples …

We investigate the triangulated hull of orbit categories of the perfect derived category and
the bounded derived category of a ring concerning the power of the suspension functor. It …

Given an additive category C and an integer n≥ 2. The higher differential additive category
consists of objects X in C equipped with an endomorphism ϵ X satisfying ϵ X n= 0. Let R be …