Global Unions

Tripartite Unions

This note provides conditions under which the union of three well-founded binary relations is also well-founded. This note concerns conditions under which the union of several wellfounded (binary) relations is also well-founded.1 To garner insight, we tackle just three relations, A, B, and C, over some underlying set V . Let {A|B} denote A ∪ B, and so on for other unions of relations. And let j...

Finite unions of submodules ON FINITE UNIONS OF SUBMODULES

This paper is concerned with finite unions of ideals and modules. The first main result is that if N ⊆ N1 ∪N2 ∪ · · · ∪Ns is a covering of a module N by submodules Ni, such that all but two of the Ni are intersections of strongly irreducible modules, then N ⊆ Nk for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on co...

The Future of Unions

For some twenty years now, it has been common to refer to a crisis of trade unionism. What the future holds for labour movements – or indeed, whether they even have a future – seems increasingly uncertain. For many trade unionists as well as academics, unions in most countries appear as victims of external forces outside their control, and often also of their own conservative inertia. But union...

Unions, Bargaining and Strikes

Trade unions and development