On the graded Gorenstein homological dimensions

نویسندگان

1 Department of Mathematics, NT. C., Islamic Azad University, Tehran, Iran.

doi
10.22034/as.2025.20228.1648
چکیده

This paper explores the intriguing relationships between graded homological dimensions and standard homological dimensions. We present an overview of the concept of graded Gorenstein homological dimensions for modules associated with commutative graded rings and derive key properties in this context. This framework provides a natural foundation for comparing graded Gorenstein homological dimensions with conventional Gorenstein homological dimensions.