Abstract
It is assumed that the reader is familiar with ordinary Gröbner Basis theory (GB). As GB is the support of the Gröbner Cover (GC), in Sects. 1.1, 1.2 and 1.3 we introduce some notations and recall central elements of the theory without proofs. This introduction should not be considered as a description of ordinary GB theory, for which we refer to the excellent books of Cox, Little, O’Shea (1992 1st ed, 2007 3rd ed) [25], Becker-Weispfenning [6], Adams-Loustaunau [2] and Eisenbud (1994 1st ed, 1998 3rd ed) [30]. For further relevant studies we refer to the books of Cox, Little, O’Shea [26] and Mora [64, 65].
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Montes, A. (2018). Preliminaries. In: The Gröbner Cover . Algorithms and Computation in Mathematics, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-030-03904-2_1
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