Acta Mathematica Sinica, English Series

, Volume 20, Issue 6, pp 1119–1130

Characteristic Modules of Dual Extensions and Gröbner Bases

ORIGINAL ARTICLES

DOI: 10.1007/s10114-004-0421-4

Cite this article as:
Xu, Y.G. & Li, L.C. Acta Math Sinica (2004) 20: 1119. doi:10.1007/s10114-004-0421-4

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.

Keywords

Quasi–hereditary algebra Dual extension Characteristic module (Left) Gröbner basis 

MR (2000) Subject Classification

16G20 13P10 

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceHubei UniversityWuhan 430062P. R. China
  2. 2.Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080P. R. China
  3. 3.Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100080P. R. China

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