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Author: Friedrich Ischebeck
Publisher: Springer Science & Business Media
ISBN: 3540263705
Category : Mathematics
Languages : en
Pages : 339
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Book Description
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,. . .
Author: Friedrich Ischebeck
Publisher: Springer Science & Business Media
ISBN: 3540263705
Category : Mathematics
Languages : en
Pages : 339
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Book Description
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,. . .
Author: Halford John Mackinder
Publisher: DIANE Publishing
ISBN: 1428981519
Category : Geography
Languages : en
Pages : 227
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Book Description
Author: David Held
Publisher: John Wiley & Sons
ISBN: 0745659357
Category : Political Science
Languages : en
Pages : 141
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Book Description
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.
Author: Margarita Zernova
Publisher: Routledge
ISBN: 1351965352
Category : Law
Languages : en
Pages : 185
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Book Description
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.
Author: Abdus Salam
Publisher: World Scientific
ISBN: 9971503166
Category : Science
Languages : en
Pages : 401
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Book Description
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.
Author: Francesco Ghia
Publisher: Cambridge Scholars Publishing
ISBN: 1443886246
Category : Law
Languages : en
Pages : 185
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Book Description
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.
Author: Seyyed Hossein Nasr
Publisher:
ISBN: 9780946621873
Category : Islam
Languages : en
Pages : 215
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Book Description
Table of ContentsPreface by Titus BurckhardtForeword by Huston SmithIntroduction to the First EditionIntroduction to the New Edition1. Islam?The Last Religion and the Primordial Religion?Its Universal and Particular Traits2. The Quran?The Word of God, the Source of Knowledge and Action3. The Prophet and Prophetic Tradition?The Last Prophet and Universal Man4. The Shari?ah?Divine Law?Social and Human Norm5. The Tariqah?The Spiritual Path and its Quranic Roots6. Sunnism and Shi?ism?Twelve-Imam Shi?ism and Isma?ilismBibliographyIndex
Author: Brad Hooker
Publisher: Oxford University Press
ISBN: 9780198250692
Category : Philosophy
Languages : en
Pages : 248
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Book Description
Begins by explaining and arguing for certain criteria for assessing normative moral theories. Then argues that these criteria lead to a rule-consequentialist moral theory.
Author: Niall Christie
Publisher: History of Warfare
ISBN:
Category : History
Languages : en
Pages : 300
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Book Description
This collection of articles offers new insights into warfare and its impact on medieval society, analyzing social and economic issues, military strategy, technology, medical developments, ideology and rhetoric, and addressing warfare in Europe, the Byzantine Empire and the Muslim world.
Author: Leon Fink
Publisher: Columbia University Press
ISBN: 023155446X
Category : Political Science
Languages : en
Pages : 193
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Book Description
In the decades following World War II, American liberals had a vision for the world. Their ambitions would not stop at the water’s edge: progressive internationalism, they believed, could help peoples everywhere achieve democracy, prosperity, and freedom. Chastened in part by the failures of these grand aspirations, in recent years liberals and the Left have retreated from such idealism. Today, as a beleaguered United States confronts a series of crises, does the postwar liberal tradition offer any useful lessons for American engagement with the world? The historian Leon Fink examines key cases of progressive influence on postwar U.S. foreign policy, tracing the tension between liberal aspirations and the political realities that stymie them. From the reconstruction of post-Nazi West Germany to the struggle against apartheid, he shows how American liberals joined global allies in pursuit of an expansive political, social, and economic vision. Even as liberal internationalism brought such successes to the world, it also stumbled against domestic politics or was blind to the contradictions in capitalist development and the power of competing nationalist identities. A diplomatic history that emphasizes the roles of social class, labor movements, race, and grassroots activism, Undoing the Liberal World Order suggests new directions for a progressive American foreign policy.
