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Noncommutative algebras.

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Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.

Noncommutative algebras --- Topology --- Algebras, Noncommutative --- Non-commutative algebras --- Algebra

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Noncommutative algebras --- Algèbres non commutatives. --- Algèbres non commutatives.

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Noncommutative algebras --- Algèbres non commutatives. --- Algèbre homologique. --- Algebra, Homological --- Topologie algébrique. --- Algebraic topology

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Quantum mechanics is one of the most fascinating, and at the same time most controversial, branches of contemporary science. Disputes have accompanied this science since its birth and have not ceased to this day. Uncommon Paths in Quantum Physics allows the reader to contemplate deeply some ideas and methods that are seldom met in the contemporary literature. Instead of widespread recipes of mathematical physics, based on the solutions of integro-differential equations, the book follows logical and partly intuitional derivations of non-commutative algebra. Readers can directly

Mathematical physics. --- Noncommutative algebras. --- Quantum theory -- Mathematics. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Quantum theory. --- Noncommutative algebras --- Algebras, Noncommutative --- Non-commutative algebras --- Algebra --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics