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Get Algorithmic Methods in Non-Commutative Algebra: Applications PDF

By J.L. Bueso,José Gómez-Torrecillas,A. Verschoren

The already large variety of purposes of ring idea has been improved within the eighties by way of the expanding curiosity in algebraic buildings of substantial complexity, the so-called type of quantum teams. one of many basic houses of quantum teams is they are modelled by means of associative coordinate jewelry owning a canonical foundation, which permits for using algorithmic constructions according to Groebner bases to review them. This booklet develops those tools in a self-contained approach, focusing on an in-depth examine of the concept of an enormous category of non-commutative earrings (encompassing such a lot quantum groups), the so-called Poincaré-Birkhoff-Witt earrings. We contain algorithms which deal with crucial points like beliefs and (bi)modules, the calculation of homological size and of the Gelfand-Kirillov size, the Hilbert-Samuel polynomial, primality assessments for top beliefs, etc.

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Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications) by J.L. Bueso,José Gómez-Torrecillas,A. Verschoren

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