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On algebra bundles and pseudo-morphisms. (English) Zbl 1049.58501

Summary: The aim of this paper is to define associative algebra bundles which have as fibre a real associative algebra. The real, complex and quaternionic models for the fibre of the algebra bundles are considered as examples. Pseudo-morphisms of algebras and of associative algebra bundles are defined as generalisations of morphisms. Some further results concerning these pseudo-morphisms are also stated.

MSC:

58H99 Pseudogroups, differentiable groupoids and general structures on manifolds
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