Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Algebraic K-theory of Monoids   Let $A$ be a not necessarily commutative monoid with zero such that
projective $A$-acts are free. This paper shows that the algebraic K-groups of
$A$ can be defined using the +-construction and the Q-construction. It is shown
that these two constructions give the same K-groups. As an immediate
application, the homotopy invariance of algebraic K-theory of certain affine
$\mathbb{F}_1$-schemes is obtained. From the computation of $K_2(A),$ where $A$
is the monoid associated to a finitely generated abelian group, the universal
central extension of certain groups are constructed.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics