Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primes of height one and a class of Noetherian finitely presented
  algebras   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.

8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con