Hilbert-Serre rings satisfy dim(R) ≤ GKdim_k(R) ≤ d(R), with all dimensions equaling the transcendence degree for monomial algebras, and strict inequalities possible for some integral domains.
Dimension and multiplicity for graded algebras , year =
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
Hilbert-Serre rings satisfy dim(R) ≤ GKdim_k(R) ≤ d(R), with all dimensions equaling the transcendence degree for monomial algebras, and strict inequalities possible for some integral domains.