Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing minimal free resolutions of right modules over noncommutative
  algebras   In this paper we propose a general method for computing a minimal free right
resolution of a finitely presented graded right module over a finitely
presented graded noncommutative algebra. In particular, if such module is the
base field of the algebra then one obtains its graded homology. The approach is
based on the possibility to obtain the resolution via the computation of
syzygies for modules over commutative algebras. The method behaves
algorithmically if one bounds the degree of the required elements in the
resolution. Of course, this implies a complete computation when the resolution
is a finite one. Finally, for a monomial right module over a monomial algebra
we provide a bound for the degrees of the non-zero Betti numbers of any single
homological degree in terms of the maximal degree of the monomial relations of
the module and the algebra.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom