Details:
Title  Weight ideals associated to regular and loglinear arrays  Author(s)  Jeremiah W. Johnson  Type  Article in Journal  Abstract  Abstract Certain weightbased orders on the free associative algebra R = k〈x 1 , … , x t〉 can be specified by t × ∞ arrays whose entries come from the subring of positive elements in a totally ordered field. If such an array satisfies certain additional conditions, it produces a partial order on R which is an admissible order on the quotient R / I , where the ideal I is a homogeneous binomial ideal called the weight ideal associated to the array. The structure of the weight ideal is determined entirely by the array. This article discusses the structure of the weight ideals associated to two distinct types of arrays which define admissible orders on the associated quotient algebra.  Keywords  Noncommutative Gröbner bases, Gröbner bases, Admissible orders  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717114000546 
Language  English  Journal  Journal of Symbolic Computation  Volume  67  Number  0  Pages  1  15  Year  2015  Edition  0  Translation 
No  Refereed 
No 
