標(biāo)題: Titlebook: Combinatorial Methods; Free Groups, Polynom Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y Book 2004 Springer Science+Business Media Ne [打印本頁] 作者: adulation 時間: 2025-3-21 17:03
書目名稱Combinatorial Methods影響因子(影響力)
作者: abreast 時間: 2025-3-21 20:32
Sliding Modes in Control of Electric Motors name just a few. Very soon, combinatorial group theory became an independent area of mathematics with its own powerful techniques. New, purely combinatorial methods were created by O. Schreier, R. Fox, W. Magnus, A. G. Kurosh, R. C. Lyndon, and many others.作者: PATRI 時間: 2025-3-22 01:38 作者: 凹室 時間: 2025-3-22 07:48
1613-5237 of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important 作者: Fibrinogen 時間: 2025-3-22 10:01
https://doi.org/10.1007/978-981-10-8473-7here a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.作者: 同時發(fā)生 時間: 2025-3-22 13:26 作者: 同時發(fā)生 時間: 2025-3-22 17:24
Classical Techniques of Combinatorial Group Theoryhere a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has, in our opinion, a better exposition of Whitehead’s and Tietze’s methods.作者: callous 時間: 2025-3-22 23:29 作者: 愚蠢人 時間: 2025-3-23 04:51
Introduction name just a few. Very soon, combinatorial group theory became an independent area of mathematics with its own powerful techniques. New, purely combinatorial methods were created by O. Schreier, R. Fox, W. Magnus, A. G. Kurosh, R. C. Lyndon, and many others.作者: 音樂戲劇 時間: 2025-3-23 07:58 作者: reserve 時間: 2025-3-23 10:24
Book 2004wn as Gr?bner bases. This marked the beginning of a new, "combinatorial", era in commu- tative algebra. It is not very likely that Buchberger was directly influenced by ideas from combinatorial group theory, but his famous algorithm bears resemblance to Nielsen‘s method, although in a more sophisticated form.作者: Diuretic 時間: 2025-3-23 14:36 作者: 誘導(dǎo) 時間: 2025-3-23 21:22 作者: In-Situ 時間: 2025-3-24 00:57
Test Elements action on a single element, a test element. More precisely: .. An element . ∈ . is called a test element (for recognizing automorphisms) of a group . if, whenever .(.) = . for an endomorphism . of ., it follows that . is an automorphism.作者: 沉著 時間: 2025-3-24 05:45 作者: 字形刻痕 時間: 2025-3-24 06:33 作者: Dna262 時間: 2025-3-24 14:10 作者: 血統(tǒng) 時間: 2025-3-24 15:16 作者: 碎石 時間: 2025-3-24 20:42
Schreier Varieties of Algebrasny subalgebra of a free algebra of this variety is free in the same variety of algebras. In Section 11.1, we describe the main types of Schreier varieties and introduce universal multiplicative enveloping algebras of free algebras. Theorem 11.1.1 gives the main properties of the free algebras of the作者: abysmal 時間: 2025-3-25 00:26 作者: 載貨清單 時間: 2025-3-25 06:38
Generalized Primitive Elementsent on the set . of free generators of one of the following varieties of algebras over a field .: the variety of all algebras, the variety of Lie algebras, varieties of color Lie superalgebras, the variety of Lie .-algebras, varieties of color Lie .-superalgebras, and varieties of commutative and an作者: Mendacious 時間: 2025-3-25 10:35 作者: Mundane 時間: 2025-3-25 13:43 作者: Ceremony 時間: 2025-3-25 18:42 作者: 課程 時間: 2025-3-25 20:47
Tiago Roux Oliveira,Leonid Fridman,Liu Hsu.[., ... , .]. Then . is isomorphic to .[., ... , .,], or, in geometric language: let . ? ?. be a hypersurface. If . × ? is isomorphic to a hyperplane in ?., then . is isomorphic to a hyperplane in ?..作者: braggadocio 時間: 2025-3-26 03:10
Studies in Systems, Decision and Controlalgebra freely generated by a set . = {., ... , .}. The general problem under discussion in this chapter is how to recognize automorphisms of .[.] and .<.>. Following van den Essen and Shpilrain [124], we give the following definitions.作者: 有節(jié)制 時間: 2025-3-26 07:18
Slikproblemen en voedingsinterventie,eties of algebras. A system of elements of a free algebra . is called primitive if it is a subset of some set of free generators of .. The rank of a system of elements of a free algebra . is the minimal number of generators from . on which automorphic images of these elements can depend.作者: 策略 時間: 2025-3-26 09:13 作者: BANAL 時間: 2025-3-26 15:20
Sliding Modes in Control of Electric Motorsgebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th century through the work of several prominent topologists, such as M. Dehn, H. Tietze, J. Nielsen, H. Reidemeister, J. H. C. Whitehead, to作者: 吹牛大王 時間: 2025-3-26 20:30
https://doi.org/10.1007/978-981-10-8473-7ead, and Tietze and the free differential calculus due to Fox. We do not go into details here because there are two very well-established monographs where a complete exposition of these techniques is given. For an exposition of Nielsen’s and Schreier’s methods, we recommend [231], whereas [227] has,作者: interpose 時間: 2025-3-26 22:59 作者: cipher 時間: 2025-3-27 01:45 作者: SKIFF 時間: 2025-3-27 07:59
Studies in Systems, Decision and Controlnd very interesting automorphic orbit is the set of all . (these are automorphic images of a free generator of .). In particular, the following problem, along with its generalizations [352], has been a source of inspiration for several people: .. If an endomorphism . of a free group . takes every pr作者: curettage 時間: 2025-3-27 12:15
Tiago Roux Oliveira,Leonid Fridman,Liu Hsu.[., ... , .]. Then . is isomorphic to .[., ... , .,], or, in geometric language: let . ? ?. be a hypersurface. If . × ? is isomorphic to a hyperplane in ?., then . is isomorphic to a hyperplane in ?..作者: CRAFT 時間: 2025-3-27 13:59 作者: 單挑 時間: 2025-3-27 18:41 作者: 熱心助人 時間: 2025-3-28 01:40
Slikproblemen en voedingsinterventie,eties of algebras. A system of elements of a free algebra . is called primitive if it is a subset of some set of free generators of .. The rank of a system of elements of a free algebra . is the minimal number of generators from . on which automorphic images of these elements can depend.作者: 雪崩 時間: 2025-3-28 04:52 作者: 商談 時間: 2025-3-28 08:49 作者: 建筑師 時間: 2025-3-28 12:33
978-1-4419-2344-8Springer Science+Business Media New York 2004作者: 排名真古怪 時間: 2025-3-28 18:22 作者: 巧思 時間: 2025-3-28 21:46
Tiago Roux Oliveira,Leonid Fridman,Liu HsuLet . be a field and let .[.] = .[., ... , .] be the polynomial algebra in . variables ., ... , . over .. Sometimes we prefer to denote the elements of . by ., etc. In this chapter, we study the group of .-algebra automorphisms Aut(.[., ... , .]), . ≥ 2.作者: phytochemicals 時間: 2025-3-28 23:44 作者: Spirometry 時間: 2025-3-29 03:31 作者: 排名真古怪 時間: 2025-3-29 08:46
5 Voeding bij kauw- en slikstoornissen,Leibniz algebras are possible non-(anti)commutative analogs of Lie algebras. These algebras have appeared in [55] under the name “D-algebras”. In [221, 222, 223] J.-L. Loday and T. Pirashvili studied these analogs from the point of view of homological algebra.作者: 石墨 時間: 2025-3-29 14:03
The Jacobian ConjectureIn this chapter, we address the most famous of the problems about polynomial mappings: .. If for . polynomials ., ... , . ∈ .[., ... , .], the corresponding Jacobian matrix is invertible, then .[., ... , .] = .[., ... , .].作者: Ceremony 時間: 2025-3-29 17:05
Nagata’s ProblemLet . be a field and let .[.] = .[., ... , .] be the polynomial algebra in . variables ., ... , . over .. Sometimes we prefer to denote the elements of . by ., etc. In this chapter, we study the group of .-algebra automorphisms Aut(.[., ... , .]), . ≥ 2.作者: ONYM 時間: 2025-3-29 22:02
The Embedding ProblemLet .[., ... , .] be the polynomial algebra in n variables over a field .. Any collection of polynomials ., ... , . from .[., ... , .] determines an algebraic variety {. = 0, . = 1, ... , .} in the affine space .. We shall denote this algebraic variety by . (., ... , .).作者: Foreshadow 時間: 2025-3-29 23:54
Coordinate PolynomialsLet . = .[., ... , .] be the polynomial algebra over a field . of characteristic 0. Recall that a polynomial . ∈ . is . if it can be included in a generating set of cardinality . of the algebra ..作者: 勛章 時間: 2025-3-30 07:15 作者: Antagonist 時間: 2025-3-30 10:21
Test Elements action on a single element, a test element. More precisely: .. An element . ∈ . is called a test element (for recognizing automorphisms) of a group . if, whenever .(.) = . for an endomorphism . of ., it follows that . is an automorphism.作者: 繁殖 時間: 2025-3-30 13:39 作者: Assemble 時間: 2025-3-30 18:01 作者: 紳士 時間: 2025-3-30 22:01
Test Elements of Polynomial and Free Associative Algebrasalgebra freely generated by a set . = {., ... , .}. The general problem under discussion in this chapter is how to recognize automorphisms of .[.] and .<.>. Following van den Essen and Shpilrain [124], we give the following definitions.作者: craven 時間: 2025-3-31 01:07 作者: antiandrogen 時間: 2025-3-31 08:31 作者: scrape 時間: 2025-3-31 11:28
Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai YIncludes supplementary material:
