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An additivity formula for the strict global dimension of C(Ω)

Seytek Tabaldyev (2014)

Open Mathematics

Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .

An axiomatic approach to homological dimension.

Jack Ohm (1975)

Mathematica Scandinavica

An explicit computation of “bar” homology groups of a non-unital ring.

Kuku, Aderemi O., Tang, Guoping (2003)

Beiträge zur Algebra und Geometrie

An extension of Miller's version of the de Rham Theorem with any coefficients

Antonio Garvín, Luis Lechuga, Aniceto Murillo, Vicente Muñoz, Antonio Viruel (1998)

Banach Center Publications

In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.