Homological properties of banach modules over abstract segal algebras
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Rasoul Nasr-Isfahani
Abstract
We study projectivity and injectivity for Banach modules over abstract Segal algebras. We then apply these results to abstract Segal algebras related to locally compact groups.
The First authors research was supported in part by a grant from IPM (No. 93430417).
The second authors research was supported in part by a grant from IPM (No. 93470058).
Acknowledgement
The authors would like to sincerely thank the referee of the paper for his valuable comments and suggestions. The first and second authors acknowledge that this research was partially carried out at the IPM-Isfahan Branch.
References
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Articles in the same Issue
- State hoops
- On derivations of partially ordered sets
- Interior and closure operators on commutative basic algebras
- When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
- Sequences of cantor type and their expressibility
- δ-Fibonacci and δ-lucas numbers, δ-fibonacci and δ-lucas polynomials
- Law of inertia for the factorization of cubic polynomials – the case of primes 2 and 3
- Closed hereditary coreflective subcategories in epireflective subcategories of Top
- Method of upper and lower solutions for coupled system of nonlinear fractional integro-differential equations with advanced arguments
- Difference of two strong Światkowski lower semicontinuous functions
- Fejér-type inequalities (II)
- Representation of maxitive measures: An overview
- On a conjecture of Y. H. Cao and X. B. Zhang
- On the generalized orthogonal stability of the pexiderized quadratic functional equations in modular spaces
- Almost everywhere convergence of some subsequences of Fejér means for integrable functions on some unbounded Vilenkin groups
- Homological properties of banach modules over abstract segal algebras
- Variable Hajłasz-Sobolev spaces on compact metric spaces
- Commuting pairs of self-adjoint elements in C*-algebras
- Additivity of maps preserving products AP ± PA* on C*-algebras
- A note on derived connections from semi-symmetric metric connections
- Lindelöf P-spaces need not be Sokolov
- Strong convergence properties for arrays of rowwise negatively orthant dependent random variables
- Least absolute deviations problem for the Michaelis-Menten function
- Congruence pairs of principal p-algebras
