Motzkin factorization in algebras of analytic elements
Strictly analytic functions on p-adic analytic open sets.
Let K be an algebraically closed complete ultrametric field. M. Krasner and P. Robba defined theories of analytic functions in K, but when K is not spherically complete both theories have the disadvantage of containing functions that may not be expanded in Taylor series in some disks. On other hand, affinoid theories are only defined in a small class of sets (union of affinoid sets) [2], [13] and [17]. Here, we suppose the field K topologically separable (example C). Then, we give a new definition...
Absolute values on algebras
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