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Titlebook: Combinatorial Methods; Free Groups, Polynom Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y Book 2004 Springer Science+Business Media Ne

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樓主: adulation
21#
發(fā)表于 2025-3-25 06:38:47 | 只看該作者
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
22#
發(fā)表于 2025-3-25 10:35:14 | 只看該作者
23#
發(fā)表于 2025-3-25 13:43:20 | 只看該作者
24#
發(fā)表于 2025-3-25 18:42:00 | 只看該作者
25#
發(fā)表于 2025-3-25 20:47:39 | 只看該作者
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 ?..
26#
發(fā)表于 2025-3-26 03:10:11 | 只看該作者
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.
27#
發(fā)表于 2025-3-26 07:18:26 | 只看該作者
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.
28#
發(fā)表于 2025-3-26 09:13:12 | 只看該作者
29#
發(fā)表于 2025-3-26 15:20:52 | 只看該作者
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
30#
發(fā)表于 2025-3-26 20:30:30 | 只看該作者
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,
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