Mathematics

Data on algebra described by researchers at Warsaw University

  2008 NOV 24 - (VerticalNews.com) -- According to recent research from Warsaw, Poland, "The structure of a finitely presented monomial algebra K[X]/K[l] over a field K is described. Here X is a finitely generated free monoid and I is a prime ideal of X that is finitely generated."

  "As an application, a new structural proof of the recent result of Bell and Pekcagliyan [J. Bell, P. Pekcagliyan, Primitivity of finitely presented monomial algebras. preprint, arXiv: 0712.0815v1] on the primitivity of such algebras is presented, which yields a positive solution to the trichotomy problem. raised by Bell and Smoktunowicz [J. Bell, A. Smoktunowicz. The prime spectrum of algebras of quadratic growth, J. Algebra 319 (2008) 414-431], in the finitely presented case," wrote J. Okninski and colleagues, Warsaw University.

  The researchers concluded: "Our approach is based on a new result on the form of prime Rees factors of semigroups satisfying the ascending chain condition on one-sided annihilators and on its refinement in the case of finitely presented factors of the form X/l."

  Okninski and colleagues published their study in the Journal of Algebra (Structure of prime finitely presented monomial algebras. Journal of Algebra, 2008;320(8):3199-3205).

  For additional information, contact J. Okninski, Warsaw University, Institute Math, Banacha 2, PL-02097 Warsaw, Poland.

  Publisher contact information for the Journal of Algebra is: Academic Press Inc. Elsevier Science, 525 B St., Ste. 1900, San Diego, CA 92101-4495, USA.

  Keywords: Algebra, Mathematics, Warsaw University.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2008, VerticalNews Mathematics via VerticalNews.com.