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

• Autorzy: Seytek Tabaldyev
• Języki publikacji: EN

Abstrakty

EN

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 .

Słowa kluczowe

EN

Strict Banach algebra; Strict projective module; Strict global homological dimension

Kategorie tematyczne

• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 46M05: Tensor products
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 46M10: Projective and injective objects

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 3
• Strony: 470-475

Daty

wydano

2014-03-01

online

2013-12-21

Twórcy

autor

Seytek Tabaldyev

• Bauman Moscow State Technical University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0350-5