Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules and ideals. The notion of a module over a ring R is a generalization of that of a vector space over a field k. The axioms are identical. But whereas every vector space possesses a basis, a module need not always have one. Modules possessing a basis are called free. So a finitely generated free R-module is of the form Rn for some n E IN, equipped with the usual operations. A module is called p- jective, iff it is a direct summand of a free one. Especially a finitely generated R-module P is projective iff there is an R-module Q with P @ Q S Rn for some n. Remarkably enough there do exist nonfree projective modules. Even there are nonfree P such that P @ Rm S Rn for some m and n. Modules P having the latter property are called stably free. On the other hand there are many rings, all of whose projective modules are free, e. g. local rings and principal ideal domains. (A commutative ring is called local iff it has exactly one maximal ideal. ) For two decades it was a challenging problem whether every projective module over the polynomial ring k[X1,. . .

Cosmopolitanism is the idea of humanity as a single community or polis. Beyond particularities, all human beings (and in some versions of cosmopolitanism certain non-humans) are part of a community, and have responsibilities, rights and the power to decide on a common future. Ideas of cosmopolitan vary from the purely moral to cultural, social, legal, institutional, political, educational and economic cosmopolitanism, or combine some or all of these facets. All of these different perspectives try to establish the basis necessary to create a true cosmopolitanism. This book provides an introduction to the ideality and reality of cosmopolitanism, presenting it “in genesis” and giving a point of departure to students and readers of cosmopolitanism from which to analyse its various contemporary versions and proposals, providing an additional tool for their thinking and judgments in the face of a huge amount of literature today. It also offers a sense of emergency to those matters, requiring a prompt legal, political and economic response, for the continuing existence of the planet and for cosmopolitanism to continue as a viable proposal for humanity. As such, this volume will, ultimately, provoke the reader into a new spirit and action, that of cosmopolitanism.

Brown Landone was one of the first teachers of the scientific understanding of accomplishments. For his first 13 years he lived the usual routine of an invalid. Then his life was changed dramatically. Although virtually helpless by many medical accounts, he was able to carry a heavy metal chest down five flights of stairs when left alone and a home fire erupted. Afterwards, young Landone knew his subconscious mind had somehow made it happen. He reasoned that if he could do that sub-consciously, he certainly could do it consciously. Sumner M. Davenport's deepest passion is seeing people live the life of their dreams while assisting others to do the same. She challenged Landone's original teachings by offering them to several people to "test" in their life situations. She has included detailed testimonials from selected "testers" in this new edition, including: "My Best Sale Ever"; "My Ideal Home," "I Wasn't Worthy to Have My Desires," "Finally Getting My Ideal Body" and more ...

"Is geography one, or is it several subjects? More precisely, are physical and political geography two stages of one investigation, or are they separate subjects to be studied by different methods, the one an appendix of geology, the other of history? " --Halford Mackinder in The Scope and Methods of Geography, 1887 The Scope and Methods of Geography was published by Halford Mackinder in 1887 in the "New Monthly Series of the Royal Geographical Society." It was a manifesto for the New Geography, in which he viewed physical geography and human geography as a single discipline. This publication represented the beginning of an illustrious career as an English geographer and academic.

This book sets out the case for a cosmopolitan approach to contemporary global politics. It presents a systematic theory of cosmopolitanism, explicating its core principles and justifications, and examines the role many of these principles have played in the development of global politics, such as framing the human rights regime. The framework is then used to address some of the most pressing issues of our time: the crisis of financial markets, climate change and the fallout from the wars in Afghanistan and Iraq. In each case, Held argues that realistic politics is exhausted, and that cosmopolitanism is the new realism. See also Garrett Wallace Brown and David Held's The Cosmopolitanism Reader.

The legitimacy and performance of the traditional criminal justice system is the subject of intense scrutiny as the world economic crisis continues to put pressure on governments to cut the costs of the criminal justice system. This volume brings together the leading work on restorative justice to achieve two objectives: to construct a comprehensive and up-to-date conceptual framework for restorative justice suitable even for newcomers; and to challenge the barriers of restorative justice in the hope of taking its theory and practice a step further. The selected articles start by answering some fundamental questions about restorative justice regarding its historical and philosophical origins, and challenge the concept by bringing into the debate the human rights and equality discourses. Also included is material based on empirical testing of restorative justice claims especially those impacting on reoffending rates, victim satisfaction and reintegration. The volume concludes with a critique of restorative justice as well as with analytical thinking that aims to push its barriers. It is hoped that the investigations offered by this volume not only offer hope for a better system for abolitionists and reformists, but also new and convincing evidence to persuade the sceptics in the debate over restorative justice.

“Appiah is a writer and thinker of remarkable range... [He] has packed into this short book an impressive amount of original reflection... A rich and illuminating book.” —Thomas Nagel, New York Review of Books Idealization is a fundamental feature of human thought. We build simplified models to make sense of the world, and life is a constant adjustment between the models we make and the realities we encounter. Our beliefs, desires, and sense of justice are bound up with these ideals, and we proceed “as if” our representations were true, while knowing they are not. In this elegant and original meditation, Kwame Anthony Appiah suggests that this instinct to idealize is not dangerous or distracting so much as it is necessary. As If explores how strategic untruth plays a critical role in far-flung areas of inquiry: decision theory, psychology, natural science, and political philosophy. A polymath who writes with mainstream clarity, Appiah defends the centrality of the imagination not just in the arts but in science, morality, and everyday life. “Appiah is the rare public intellectual who is also a first-rate analytic philosopher, and the characteristic virtues associated with each of these identities are very much in evidence throughout the book.” —Thomas Kelly, Notre Dame Philosophical Reviews

Topic of particular interest is Professor Salam's view on the development and the international nature of science. His insistence that a scientific thought and its creation is the common and shared heritage of mankind which deserves much thought. There are also interesting accounts of Professor Salam himself and of the International Centre for Theoretical Physics at Trieste, Italy.

An engrossing, clear-eyed look at the conflict in Kosovo and what it reveals about the limits of America's power to shape the world and impose democratic and humane values in countries under the control of ruthless dictators. 4 maps.