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標(biāo)題: Titlebook: Algorithmic Methods in Non-Commutative Algebra; Applications to Quan José Bueso,José Gómez-Torrecillas,Alain Verschoren Book 2003 Springer [打印本頁]

作者: JADE    時間: 2025-3-21 19:21
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書目名稱Algorithmic Methods in Non-Commutative Algebra讀者反饋學(xué)科排名





作者: Hippocampus    時間: 2025-3-21 23:52
,Gr?bner basis computation algorithms, the notion of admissible order ?. and show how this may be used to define left Poincaré-Birkhoff-Witt (PBW) rings. The elements of these rings exhibit a behaviour which is similar to that of ordinary, commutative polynomials, allowing them to be approached computationally. Left PBW rings are actual
作者: Heart-Attack    時間: 2025-3-22 02:31
First applications,ce 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.
作者: 品嘗你的人    時間: 2025-3-22 05:46
,Gr?bner bases for modules,rship or equality problem. In the present chapter we will generalize this approach and show how it applies as well to submodules of the free module ..Actually, it appears that this set-up may also be used to calculate syzygy modules, both in the ideal and (more generally) the module case. The introd
作者: grotto    時間: 2025-3-22 10:21
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 elimin
作者: CLASP    時間: 2025-3-22 13:13
The Gelfand-Kirillov dimension and the Hilbert polynomial,otion is defined by using chains of (two-sided) prime ideals, it only makes sense for rings having “many” two-sided ideals. Fortunately, for finitely generated k-algebras ., we may define the so-called Gelfand-Kirillov dimension GKdim(.), which is a far better invariant and which, moreover, coincide
作者: 從容    時間: 2025-3-22 18:28

作者: 陳腐思想    時間: 2025-3-22 22:31

作者: AVERT    時間: 2025-3-23 04:56
Generalities on rings, book. We did, of course, not aim at a complete or self-contained exposition, as this would fall outside of the framework of the present text. Instead we restrict ourselves exactly to those topics, definitions and properties, which play a major role throughout the sequel.
作者: 含沙射影    時間: 2025-3-23 07:17
First applications,ce 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.
作者: PANG    時間: 2025-3-23 13:16
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 Gr?bner bases.
作者: 斷言    時間: 2025-3-23 15:58
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:
作者: irradicable    時間: 2025-3-23 22:06

作者: PSA-velocity    時間: 2025-3-24 00:40
,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:
作者: 座右銘    時間: 2025-3-24 04:51

作者: 稀釋前    時間: 2025-3-24 10:24
Mathematical Modelling: Theory and Applicationshttp://image.papertrans.cn/a/image/152996.jpg
作者: glomeruli    時間: 2025-3-24 11:56
Algorithmic Methods in Non-Commutative Algebra978-94-017-0285-0Series ISSN 1386-2960
作者: 愛花花兒憤怒    時間: 2025-3-24 14:58

作者: 故意    時間: 2025-3-24 21:31
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.
作者: myelography    時間: 2025-3-25 00:50

作者: Predigest    時間: 2025-3-25 06:02
Leistungs- und Produktportfolio book. We did, of course, not aim at a complete or self-contained exposition, as this would fall outside of the framework of the present text. Instead we restrict ourselves exactly to those topics, definitions and properties, which play a major role throughout the sequel.
作者: flaggy    時間: 2025-3-25 11:01
Management, Personal und Organisation the notion of admissible order ?. and show how this may be used to define left Poincaré-Birkhoff-Witt (PBW) rings. The elements of these rings exhibit a behaviour which is similar to that of ordinary, commutative polynomials, allowing them to be approached computationally. Left PBW rings are actual
作者: COW    時間: 2025-3-25 11:50
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.
作者: 集中營    時間: 2025-3-25 17:05
Das Leistungs- und Produktportfoliorship or equality problem. In the present chapter we will generalize this approach and show how it applies as well to submodules of the free module ..Actually, it appears that this set-up may also be used to calculate syzygy modules, both in the ideal and (more generally) the module case. The introd
作者: Picks-Disease    時間: 2025-3-25 20:07
Gesch?ftsmodell/Unternehmenskonzeptn 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 elimin
作者: APO    時間: 2025-3-26 00:58
Das Leistungs- und Produktportfoliootion is defined by using chains of (two-sided) prime ideals, it only makes sense for rings having “many” two-sided ideals. Fortunately, for finitely generated k-algebras ., we may define the so-called Gelfand-Kirillov dimension GKdim(.), which is a far better invariant and which, moreover, coincide
作者: agglomerate    時間: 2025-3-26 08:07

作者: 寒冷    時間: 2025-3-26 08:58
Book 2003ost quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.
作者: 毛細(xì)血管    時間: 2025-3-26 14:16

作者: V切開    時間: 2025-3-26 18:14
,Gr?bner basis computation algorithms,vision algorithm for these rings, as this will play a fundamental role when we introduce Gr?bner bases for one-sided and two-sided ideals. We show how Buchberger’s approach generalizes to the noncommutative case. In particular, we will see that Gr?bner bases always exist and that reduced Gr?bner bases are unique.
作者: 營養(yǎng)    時間: 2025-3-27 00:44
Book 2003rable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book dev
作者: Genome    時間: 2025-3-27 03:56
,Gr?bner bases for modules,uction and study of Gr?bner bases themselves depends heavily upon the use of admissible orders on . a notion which generalizes the homonymous one over ?. and which possesses similar properties. On the other hand, it should also be clear that an analogue of the division algorithm for modules will play a leading role throughout.
作者: 偶像    時間: 2025-3-27 07:46

作者: 浮雕寶石    時間: 2025-3-27 09:30

作者: BIDE    時間: 2025-3-27 14:07
1386-2960 of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. Thi
作者: 知道    時間: 2025-3-27 19:01

作者: GUILE    時間: 2025-3-27 22:34
José Bueso,José Gómez-Torrecillas,Alain Verschoren
作者: 意外的成功    時間: 2025-3-28 04:11
9樓
作者: Cabg318    時間: 2025-3-28 09:33
9樓
作者: Gum-Disease    時間: 2025-3-28 12:16
10樓
作者: occult    時間: 2025-3-28 15:10
10樓
作者: 絕食    時間: 2025-3-28 21:01
10樓
作者: A精確的    時間: 2025-3-29 02:52
10樓




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