Scientific Annals of Computer Science

"Alexandru Ioan Cuza" University of Iaşi

Subvarieties of the Variety of Meadows

Published in Volume XXVII, Issue 1, 2017, p. 1-18, doi: 10.7561/SACS.2017.1.1

Authors: J.A. Bergstra, I. Bethke


Meadows—commutative rings equipped with a total inversion operation—can be axiomatized by purely equational means. We study subvarieties of the variety of meadows obtained by extending the equational theory and expanding the signature.

Keywords: Algebraic specification, data type, meadow, von Neumann regular ring, expansion field, equational logic, variety.

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