Primes of height one and a class of Noetherian finitely presented algebras

Details Primes of height one and a class of Noetherian finitely presented algebras Primes of height one and a class of Noetherian finitely presented algebras

2006-09-28

arxiv.org/abs/math/0609786v2

International Journal of Algebra and Computation Vol. 17, No 8. (2007), 1-27

Mathematics

Rings and Algebras

28 pages, no figures

Scientific paper

Constructions are given of Noetherian maximal orders that are finitely presented algebras over a field K, defined by monomial relations. In order to do this, it is shown that the underlying homogeneous information determines the algebraic structure of the algebra. So, it is natural to consider such algebras as semigroup algebras K[S] and to investigate the structure of the monoid S. The relationship between the prime ideals of the algebra and those of the monoid S is one of the main tools. Results analogous to fundamental facts known for the prime spectrum of algebras graded by a finite group are obtained. This is then applied to characterize a large class of prime Noetherian maximal orders that satisfy a polynomial identity, based on a special class of submonoids of polycyclic-by-finite groups. The main results are illustrated with new constructions of concrete classes of finitely presented algebras of this type.

Affiliated with

Also associated with

No associations

Rating

Primes of height one and a class of Noetherian finitely presented algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Primes of height one and a class of Noetherian finitely presented algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Primes of height one and a class of Noetherian finitely presented algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532279