Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the coset structure of distributive skew lattices   In the latest developments in the theory of skew lattices, distributivity has
been one of the main topics of study. The largest classes of examples of such
algebras are distributive. Unlike what happens in lattices, the properties of
cancellation and distributivity are independent for skew lattices. In this
paper we will discuss several aspects of distributivity in the absence of
commutativity, review the recent results by Kinyon and Leech on these matters
and have an insight on the coset structure of those algebras that satisfy this
property. We will also discuss combinatorial implications of these results.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs