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Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German. (English) Zbl 1158.01307
Summary: This is the English translation (by Michael P. Abramson) of the PhD thesis of Bruno Buchberger, in which he introduced the algorithmic theory of Gröbner bases. Some comments by Buchberger on the translation and the thesis are given in an additional short paper in ibid. 41, No. 3–4, 471–474 (2006; Zbl 1158.01307).
For the interested reader, a copy of the original is available at

01A75 Collected or selected works; reprintings or translations of classics
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
68-03 History of computer science
68W30 Symbolic computation and algebraic computation
Full Text: DOI
[1] Gröbner, W., Moderne algebraische geometrie, (1949), Springer-Verlag · Zbl 0033.12706
[2] Van der Waerden, B.L., Moderne algebra I, (1937), Springer-Verlag · Zbl 0016.33902
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