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Titlebook: Algorithmic Methods in Non-Commutative Algebra; Applications to Quan José Bueso,José Gómez-Torrecillas,Alain Verschoren Book 2003 Springer

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楼主: JADE
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Syzygies and applications,n techniques. However, it appears that this approach is highly inefficient from the computational point of view, mainly due to the necessary use of the lex ordering (or, more generally, any elimination ordering). Actually, lots of effort has been spent in the past in order to avoid the use of eliminations in computations involving Gröbner bases.
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Das Leistungs- und ProduktportfolioA PBW algebra . over a field k may be viewed as an associative algebra generated by finitely many elements ..,…, .. subject to the relations ., where each .. is a finite k-linear combination of standard terms ., with ., and where each . is a non-zero scalar in the field k. The algebra is required to satisfy the following two conditions:
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,Poincaré-Birkhoff-Witt Algebras,A PBW algebra . over a field k may be viewed as an associative algebra generated by finitely many elements ..,…, .. subject to the relations ., where each .. is a finite k-linear combination of standard terms ., with ., and where each . is a non-zero scalar in the field k. The algebra is required to satisfy the following two conditions:
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Mathematical Modelling: Theory and Applicationshttp://image.papertrans.cn/a/image/152996.jpg
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Algorithmic Methods in Non-Commutative Algebra978-94-017-0285-0Series ISSN 1386-2960
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Leistungs- und Produktportfolioce many of these applications are non-commutative analogs of corresponding ones in the commutative case, our presentation runs along the lines of that in “classical” texts, like [.], for example. In this way, the reader may easily compare the commutative and the non-commutative approach.
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