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n-Barbilian Domains

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Abstract

The notion of Barbilian domain as introduced and studied by W. Leißner [14], [16] and others is refined here to n-Barbilian domain in a free module of rank n. This leads to results that bear on n-dimensional affine ring geometry. The case of infinite rank is also considered. AMS Classification: 51C05. Keywords: Free module, Barbilian domain, Hermite ring, affine ring geometry.

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  1. Mathematical Institute, Utrecht University, Budapestlaan 6, 3508, TA Utrecht, The Netherlands

    Ferdinand D. Veldkamp

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  1. Ferdinand D. Veldkamp
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Veldkamp, F.D. n-Barbilian Domains. Results. Math. 23, 177–200 (1993). https://doi.org/10.1007/BF03323135

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