Bazzoni–Glaz conjecture
Copyright policy )Bazzoni–Glaz conjecture
In their paper, Bazzoni and Glaz conjecture that the weak global dimension of a Gaussian ring is $0,1$ or $\infty$. In this paper, we prove their conjecture.
arXiv admin note: substantial text overlap with arXiv:1107.0440
Homological dimension and commutative rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Prüfer domains, weak dimension, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Gaussian rings, Polynomials over commutative rings, 13B25, 13D05, 13F05, 16E30 (Primary) 16E65 (Secondary), FOS: Mathematics, Homological functors on modules (Tor, Ext, etc.) in associative algebras, content, non-Noetherian rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations
Homological dimension and commutative rings, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Prüfer domains, weak dimension, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Gaussian rings, Polynomials over commutative rings, 13B25, 13D05, 13F05, 16E30 (Primary) 16E65 (Secondary), FOS: Mathematics, Homological functors on modules (Tor, Ext, etc.) in associative algebras, content, non-Noetherian rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations
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