An analogue of the Magnus problem for associative algebras

We prove an analogue of Magnus theorem for associative algebras without unity over arbitrary fields. Namely, if an algebra is given by $n+k$ generators and $k$ relations and has an $n$-element system of generators, then this algebra is a free algebra of rank $n$.

An Examination of the Use of Coercion by Assertive Outreach and Community Mental Health Teams in Northern Ireland.

In mental health services over recent decades, the positive move away from hospital-based care to community-based services has entailed that people with higher levels of need are being supported by community mental health services. This paper begins by reviewing the literature on coercion in the field of community-based mental health care and treatment. It is argued that the lack of a critical understanding of the concept and how it is used by practitioners and agencies can have serious repercussions for the rights of service users. Using a quasi-experimental, longitudinal design, the authors then seek to test some of the ideas about coercion by comparing the activities of assertive outreach and community mental health teams in Northern Ireland, particularly the key ideas of perceived coercion, workers’ strategies and engagement with services. Key findings were that assertive outreach appeared to be more successful at reducing perceived coercion, minimizing the need for coercive strategies, engaging high-risk clients and reducing inpatient bed use. These findings are compared with other studies in this area. The authors also argue that there is a need for greater transparency in the way that practitioners use coercive measures and more explicit guidance is required in this crucial area of mental health practice.

Notes on the History of Social Work: An Examination of the Transition from Philanthropy to Professional Social Work in Ireland

The objective of the article is to examine the way in which social work in Ireland evolved from practices of philanthropy in the late 19th century to a distinct professional strategy in the present. Results: The results of archival research show that philanthropy in Ireland was provided almost exclusively by religious organizations and was constructed within a discourse of sectarianism and rivalry between the two main denominations, Catholic and Protestant, up to the 1960s. It is only in the past 30 years that social work has become firmly established as a secular strategy. Conclusions: It is concluded that although social work is now clearly distinct from voluntary and religious-based social work practices, some of its present principles and practices remain continuous with its historical antecedents.