Extending abelian groups to rings

For any abelian group G and any function f : G → G we define a commutative binary operation or `multiplication' on G in terms of f. We give necessary and sufficient conditions on f for G to extend to a commutative ring with the new multiplication. In the case where G is an elementary abelian p-group of odd order, we classify those functions which extend G to a ring and show, under an equivalence relation we call weak isomorphism, that there are precisely six distinct classes of rings constructed using this method with additive group the elementary abelian p-group of odd order p².

Fuzzy concepts and formal methods

It has been recognised that formal methods are useful as a modelling tool in requirements engineering. Specification languages such as Z permit the precise and unambiguous modelling of system properties and behaviour. However some system problems, particularly those drawn from the information systems problem domain, may be difficult to model in crisp or precise terms. It may also be desirable that formal modelling should commence as early as possible, even when our understanding of parts of the problem domain is only approximate. This thesis suggests fuzzy set theory as a possible representation scheme for this imprecision or approximation. A fuzzy logic toolkit that defines the operators, measures and modifiers necessary for the manipulation of fuzzy sets and relations is developed. The toolkit contains a detailed set of laws that demonstrate the properties of the definitions when applied to partial set membership. It also provides a set of laws that establishes an isomorphism between the toolkit notation and that of conventional Z when applied to boolean sets and relations. The thesis also illustrates how the fuzzy logic toolkit can be applied in the problem domains of interest. Several examples are presented and discussed including the representation of imprecise concepts as fuzzy sets and relations, system requirements as a series of linguistically quantified propositions, the modelling of conflict and agreement in terms of fuzzy sets and the partial specification of a fuzzy expert system. The thesis concludes with a consideration of potential areas for future research arising from the work presented here.

Today's university : mimicry versus creativity

There are significant dilemmas associated with the contemporary way in which convergence to neo-liberal ideology and norms coheres to support an economic view of ‘development’ and ‘modernization’ that seriously threatens values integrity in what Samir Amin refers to as ‘peripheral’ societies. Recognizing this issue leads us to look more deeply at the problems of convergence and divergence from neo-liberal hegemony and norms when we engage issues of institutional reform and to what extent we can map out an alternative way of engaging globalization that allows the maintenance of creative values integrity and dignity. The core argument of this paper is that the problem of creativity in higher education is related to our struggle against isomorphic mimicry. If we are to challenge or ameliorate the influences of convergent isomorphism in higher education, upon what theoretical basis can we begin our discussion?

Video indexing and similarity retrieval by largest common subgraph detection using decision trees

While the largest common subgraph (LCSG) between a query and a database of models can provide an elegant and intuitive measure of similarity for many applications, it is computationally expensive to compute. Recently developed algorithms for subgraph isomorphism detection take advantage of prior knowledge of a database of models to improve the speed of on-line matching. This paper presents a new algorithm based on similar principles to solve the largest common subgraph problem. The new algorithm significantly reduces the computational complexity of detection of the LCSG between a known database of models, and a query given on-line.

Convergence and divergence dynamics in British and French business schools: how will the pressure for accreditation influence these dynamics?

This paper focuses on convergence and divergence dynamics among leading British and French business schools and explores how the pressure for accreditation influences these dynamics. We illustrate that despite historical differences in approaches to management education in Britain and France, these approaches have converged partly based on the influence of the American model of management education but more recently through the pursuit of accreditation, in particular from the Association to Advance Collegiate Schools of Business and the European Quality Improvement Standard. We explore these dynamics through the application of the resource-based view of the firm and institutional theory and suggest that, whilst achieving accreditation is a necessary precursor for international competition, it is no longer a form of competitive advantage. The pursuit of accreditation has fostered a form of competitive mimicry reducing national distinctiveness. The resource-based view of the firm suggests that the top schools need a more heterogeneous approach that is not easily replicable if they are to outperform the competitors. Consequently, the convergence of management education in Britain and France will become a new impetus for divergence. We assert that future growth and competitive advantage might be better achieved through the reassertion of national, regional and local cultural characteristics. © 2013 British Academy of Management.

Is sustainability reporting becoming institutionalised? The role of an issues-based field

We study companies that do not produce a sustainability report in contexts where institutionalisation is assumed. Based on a careful analysis of interaction patterns between non-reporting companies, sustainability interest groups, and peer organisations, we find patterns of discursive and material isomorphism that suggest sustainability reporting is confined to an issues-based field, rather than spreading as an institutionalised practice across the business community. We argue that the issues-based field exerts only weak pressure for sustainability reporting, and that encouraging more firms to report rests on understanding what influences companies to interact more widely to become part of this field.