Buchberger–Weispfenning theory for effective associative rings. (November 2017)

• Record Type: Journal Article
• Authors: Ceria, Michela; Mora, Teo
• Is Part Of: Journal of symbolic computation. Volume 83(2017)
• Page Start: 112
• Page End: 146
• Publication Date: 2017-11
• Subjects: Effective rings -- Buchberger theory -- Restricted Groebner bases -- Weispfenning multiplication; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.11.008
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We present here a new approach for computing Groebner bases for bilateral modules over an effective ring. Our method is based on Weispfenning notion of restricted Groebner bases and related multiplication.