Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-12T08:03:12.230Z Has data issue: false hasContentIssue false
  • English
  • Français

On the C-Projectivity of ideals in Banach algebras†

Published online by Cambridge University Press:  18 May 2009

L. I. Pugach
L. I. Pugach
Affiliation:
School of Mathematics and Statistics, University of Newcastle Upon Tyne, Newcastle Upon Tyne, NE1 7RU, England
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The notion of projective Banach module was defined by Helemskii in [1]—the paper which properly founded the homological theory of Banach algebras. The same author introduced the definition of the (relatively) flat Banach module in [2]. Recently M. C. White [3] modified both of those definitions, introducing so called C-projective and C-flat Banach modules.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 143 - 145
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

reference

Helemskii, A. Ya., On the homological dimension of normed modulus over Banach algebras, Math. USSR-Sb. 10:3 (1970), 399–412. (Originally published in Mat. Sb. 81 (1970), 430–444.)CrossRefGoogle Scholar
Helemskii, A. Ya., A certain class of flat Banach modules and its applications, Vest. Mosk Univ. ser. mat. mekh. 27:1 (1972), 29–36.Google Scholar
White, M. C., Injective modules over the uniform algebras, Proc. London Math. Soc., (3) 73 (1996), 155–184.CrossRefGoogle Scholar
Grothendieck, A., Produits tensorielles topologiques et espaces nucléaires, Mem. Amer. Math. Soc.. No. 166 (1955).Google Scholar
Pugach, L. I., Projective and flat ideals of function algebras and their relation to analytic structure, Mat. Zametki 31, #2 (1982), 223–228. (Transl. in Math. Notes, 31:1, 2 (1982), 114–117.)Google Scholar