Characteristic Modules of Dual Extensions and Gröbner Bases
Source: Acta Mathematica Sinica, Volume 20, Number 6, November 2004 , pp. 1119-1130(12)
Abstract:Let C be a finite dimensional directed algebra over an algebraically closed field k and A = A(C) the dual extension of C. The characteristic modules of A are constructed explicitly for a class of directed algebras, which generalizes the results of Xi. Furthermore, it is shown that the characteristic modules of dual extensions of a certain class of directed algebras admit the left Gröbner basis theory in the sense of E. L. Green.
Document Type: Research article
Affiliations: 1: Faculty of Mathematics and Computer Science, Hubei University, Wuhan 430062, P. R. China, Email: firstname.lastname@example.org 2: Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China, Email: email@example.com
Publication date: 2004-11-01