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ERRORS IN INTRODUCTION TO GROBNER BASES BY WILLIAM ADAMS AND PHILIPPE LOUSTAUNAU
 

Summary: ERRORS IN INTRODUCTION TO GROBNER BASES
BY WILLIAM ADAMS AND PHILIPPE LOUSTAUNAU
The items here that did not get into the second printing are labled with a
``NEW''.
PAGE/LINE:
6,7: In the proof of Theorem 1.1.3 the ideals I i and I n should always have their
index start at 0. NEW
18: The term ''order'' was never defined. The usual definition is intended.
21/11: ( should read ` throughout this line.
35/­3: Delete the word ''more''
55/1: The polynomial f 3 should be f 3 = y 2 \Gamma xy \Gamma x 2 in order to have f 3 be
part of a reduced Gršobner basis. This error carries along for awhile (but is
not important and should be ignored). NEW
59/­9: Insert after the comma:''(although another Gršobner basis must be com­
puted)''
60/­17: g(0) should read g(0; 0). NEW
61/10: ''the generators'' should read ''the given generators''
74/12: Add into the list: ''x 2 y 2 z 3 ; xyz 3 ; y 2 z''
75/12: The list should read x 2 y 2 z; xy 3 z; xy 3 z 4 ; x 2 y 2 ; x 2 y 2 z 3 ; xyz; z 5 (the way
it was before ! T was not needed) NEW

  

Source: Adams, William W. - Department of Mathematics, University of Maryland at College Park

 

Collections: Mathematics