For any finite abelian group G and any subset S ⊆ G, we determine the connectivity of the addition Cayley graph induced by S on G. Moreover, we show that if this graph is not c...
David J. Grynkiewicz, Vsevolod F. Lev, Oriol Serra
Abstract. Let n be a positive integer and FA (n) be the free abelian latticeordered group on n generators. We prove that FA (m) and FA (n) do not satisfy the same first-order sente...
Recently, Desmedt et al. studied the problem of achieving secure n-party computation over non-Abelian groups. They considered the passive adversary model and they assumed that the...
Xiaoming Sun, Andrew Chi-Chih Yao, Christophe Tart...
We consider a system of linear constraints over any finite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...
We study Dedekind cuts on ordered Abelian groups. We introduce a monoid structure on them, and we characterise, via a suitable representation theorem, the universal part of the th...