Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthomodular lattices, Foulis Semigroups and Dagger Kernel Categories   This paper is a sequel to arXiv:0902.2355 and continues the study of quantum
logic via dagger kernel categories. It develops the relation between these
categories and both orthomodular lattices and Foulis semigroups. The relation
between the latter two notions has been uncovered in the 1960s. The current
categorical perspective gives a broader context and reconstructs this
relationship between orthomodular lattices and Foulis semigroups as special
instance.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph