The homological dimensions of simple modules

N Ding, J Chen - Bulletin of the Australian Mathematical Society, 1993 - cambridge.org
We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …

[PDF][PDF] THE HOMOLOGICAL DIMENSIONS OF SIMPLE MODULES

N DING, J CHEN - BULL. AUSTRAL. MATH. SOC - scholar.archive.org
We prove that (a) if A is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP—) injective) dimensions of the simple iZ-modules;(b) if R is …

The homological dimensions of simple modules

N Ding, J Chen, N Ding, J Chen - 1993 - arch.neicon.ru
We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …