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Abstract: Let A be a commutative normed algebra, K a class of normed A-modules. Anormed A-module Z is called extremely flat with respect to K, if, for everyisometric morphism of normed A-modules, belonging to K, the non-completedprojective A-module tensor product of this morphism and the identity morphismon Z, is also isometric. In the present paper we take, in the capacity of A,the algebra c 0 of vanishing sequences and consider the class of the so-calledhomogeneous modules, over the latter algebra, denoted by H. The main theoremgives a full description of essential homogeneous modules over the mentionedalgebra that are extremely flat with respect to H. In particular, alll p-sums; p


Autor: A. Ya. Helemskii

Fuente: https://arxiv.org/







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