Non-domination, non-alienation and social equality: towards a republican understanding of equality

The republican idea of non-domination stresses the importance of certain social relationships for a person’s freedom, showing that freedom is a social-relational state. While the idea of freedom as non-domination receives a lot of attention in the literature, republican theorists say surprisingly little about equality. Therefore, the aim of this paper is to carve out the contours of a republican conception of equality.. In so doing, I will argue that republican accounts of equality share a significant normative overlap with the idea of social equality. However, closer analysis of Philip Pettit’s account of ‘expressive egalitarianism’ (which Pettit sees as inherently connected to non-domination) and recent theories of social equality shows that republican non-domination – in contrast to what Pettit seems to claim – is not sufficient for securing (republican) social equality. In order to secure social equality for all, republicans would have to go beyond non-domination.

Freedom as non-domination: radicalisation or retreat?

Key challenges for contemporary neorepublicans are identified and explored. Firstly, the attempt to maintain a sharp line between neorepublicanism and the wider family of liberal–egalitarian political theories is questioned. Secondly, in response to challenges from democratic theorists, it is argued that republicanism needs to effect an appropriate rapprochement with the ideal of collective political autonomy, on which it appears to rely. Thirdly, it is argued that freedom as non-domination draws so heavily on the idea of equal respect that it is hard to maintain that freedom is the sole value grounding the theory. Finally, it is suggested that the consequentialist framework of Pettit’s theory imposes significant limitations on republican social justice. How republican political theorists respond to these challenges will determine whether the neorepublican revival will be seen as enriching contemporary debates about democracy and social justice or as a retreat from more ambitious accounts of freedom and justice.

Finite domination and Novikov rings. Laurent polynomial rings in several variables

We present a homological characterisation of those chain complexes of modules over a Laurent polynomial ring in several indeterminates which are finitely dominated over the ground ring (that is, are a retract up to homotopy of a bounded complex of finitely generated free modules). The main tools, which we develop in the paper, are a non-standard totalisation construction for multi-complexes based on truncated products, and a high-dimensional mapping torus construction employing a theory of cubical diagrams that commute up to specified coherent homotopies.

Efficient edge domination in regular graphs

An induced matching of a graph G is a matching having no two edges joined by an edge. An efficient edge dominating set of G is an induced matching M such that every other edge of G is adjacent to some edge in M. We relate maximum induced matchings and efficient edge dominating sets, showing that efficient edge dominating sets are maximum induced matchings, and that maximum induced matchings on regular graphs with efficient edge dominating sets are efficient edge dominating sets. A necessary condition for the existence of efficient edge dominating sets in terms of spectra of graphs is established. We also prove that, for arbitrary fixed p ≥ 3, deciding on the existence of efficient edge dominating sets on p-regular graphs is NP-complete. © 2008 Elsevier B.V. All rights reserved.

Doing feminist research in a masculine paradigm

This paper aims to do three things; firstly the authors will present a case for their argument that marketing can be viewed as a masculine paradigm, secondly a critical perspective of traditional research methodologies within marketing and consumer research will be developed and, finally, the authors will share their own experiences of adopting alternative approaches and engaging in research reflexivity.