Details:
Title  A Direct Products of Fields Approach to Comprehensive Grobner Bases over Finite Fields  Author(s)  Katsusuke Nabeshima  Type  Book, Chapter in Book, Conference Proceeding  Abstract  We describe comprehensive Grobner bases over finite fields by direct product of fields. In general, representatioins of comprehensive Grobner bases have some conditions on parameters. However, in finite fields we can construct comprehensive Grobner bases without conditions by the theory of von Neumann regular rings. Alternative comprehensive Grobner bases (ACGB) are also bases on the theory of von Neumann regular rings. However, ACGB are defined for infinite fields, we can not use the method given by ACGB for finite fields. The comprehensive Grobner bases we are to describe are defined as Grobner bases in polynomial rings over commutative von Neumann regular rings, hence the comprehensive Grobner bases have some nice properties which we also describe.  Length  2  ISSN  4903027023 
Language  English  Pages  5455  Year  2005  Month  August  Editor  Shirayanagi and K.  Translation 
No  Refereed 
No  Conferencename  ACA 2005 
