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arXiv 2004-02-14 0 views

The maximum principle for manifolds over a local algebra

Gaisin, Tagir I.

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Let A be a finite-dimensional local commutative algebra over R, ᵣA=n. In this work we consider compact manifolds over A, and prove that the real part of an A-differentiable function is constant. Also we find estimates for the dimensions of some spaces of 1-form.

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