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Zariski extensions and biregular rings

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In this paper we study the structure of Zariski central rings with regular center i.p. biregular rings, and we obtain structure theorems for algebras which are finitely generated over their regular center, etc. Characterizations of certain classes of rings are being obtained by using localization at prime ideals and local-global theorems.

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Nauwelaerts, E., Van Oystaeyen, F. Zariski extensions and biregular rings. Israel J. Math. 37, 315–326 (1980). https://doi.org/10.1007/BF02788929

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