Finitely presented dimension of commutative rings and modules
The author defines a dimension, called the finitely presented dimension, for modules and commutative rings. This dimension measures how far away a module is from being finitely presented and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent. In this case, the finitely presented dimension is compared with the global dimension and the weak global dimension and it is shown that \(gl.\dim (R)=\sup (w.g.\dim (R),f.p.\dim (R)-1).\)
scientific article; zbMATH DE number 3889681