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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
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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
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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