Homological dimensions of \(C(\Omega)\)-modules (Q5960241)

Let \(C(\Omega)\) be an algebra of continuous functions on the compactum \(\Omega\) with regular Borel measure \(\mu\). The author studies the properties of the unital Hilbert module over \(C(\Omega)\). The analysis of projectivity conditions of both the Hilbert module and the unital Hilbert module [\textit{A.~Ya.~Khelemskij}, ``Homology in Banach and topological algebras'', Moscow, Izdatel'stvo Moskovskogo Gosudarstvennogo Universiteta (1986; Zbl 0608.46046)] is presented.