Il libro esamina gli aspetti del globalismo finanziario, le finalità di esso e come si è determinato il processo capitalista moderno; i mutamenti socio-ambientali, i cambiamenti e la perdita della biosfera, la necessità della ricerca di fonti di energia alternativa e la bioeconomia. Effetto serra, inquinamento, emissioni di CO2, quali gli effetti dei moderni sistemi di produzione capitalista. Le guerre di mercato, la truffa dell'euro, le aggressioni militari per l'accaparramento delle risorse energetiche e delle riserve dei semi delle specie fitoalimentari. Le conseguenze di tali mutamenti ed il concetto di rischio.
A polynomial identity for an algebra (or a ring) A A is a polynomial in noncommutative variables that vanishes under any evaluation in A A. An algebra satisfying a nontrivial polynomial identity is called a PI algebra, and this is the main object of study in this book, which can be used by graduate students and researchers alike. The book is divided into four parts. Part 1 contains foundational material on representation theory and noncommutative algebra. In addition to setting the stage for the rest of the book, this part can be used for an introductory course in noncommutative algebra. An expert reader may use Part 1 as reference and start with the main topics in the remaining parts. Part 2 discusses the combinatorial aspects of the theory, the growth theorem, and Shirshov's bases. Here methods of representation theory of the symmetric group play a major role. Part 3 contains the main body of structure theorems for PI algebras, theorems of Kaplansky and Posner, the theory of central polynomials, M. Artin's theorem on Azumaya algebras, and the geometric part on the variety of semisimple representations, including the foundations of the theory of Cayley–Hamilton algebras. Part 4 is devoted first to the proof of the theorem of Razmyslov, Kemer, and Braun on the nilpotency of the nil radical for finitely generated PI algebras over Noetherian rings, then to the theory of Kemer and the Specht problem. Finally, the authors discuss PI exponent and codimension growth. This part uses some nontrivial analytic tools coming from probability theory. The appendix presents the counterexamples of Golod and Shafarevich to the Burnside problem.
The consciousness to respect the environment is increasingly latent in our society. This volume presents a series of practical examples where we study the trends and solutions used. We have made a careful selection of projects, which have been designed using sustainable parameters. With a uniform analytical scheme and complete graphic information, we present projects that are adapted to climatic conditions of location from Australia to India, with particular emphasis on Spanish experiences. Through the examples shown, we can see how architecture which incorporates bioclimatic criteria from the project phase can materialize into high quality, comfortable buildings.
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