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Titlebook: Algorithmic and Combinatorial Algebra; L. A. Bokut’,G. P. Kukin Book 1994 Kluwer Academic Publishers 1994 algebra.algorithms.automorphism.

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樓主
發(fā)表于 2025-3-21 17:23:18 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algorithmic and Combinatorial Algebra
影響因子2023L. A. Bokut’,G. P. Kukin
視頻videohttp://file.papertrans.cn/154/153014/153014.mp4
學(xué)科分類Mathematics and Its Applications
圖書封面Titlebook: Algorithmic and Combinatorial Algebra;  L. A. Bokut’,G. P. Kukin Book 1994 Kluwer Academic Publishers 1994 algebra.algorithms.automorphism.
影響因子Even three decades ago, the words ‘combinatorial algebra‘ contrasting, for in- stance, the words ‘combinatorial topology,‘ were not a common designation for some branch of mathematics. The collocation ‘combinatorial group theory‘ seems to ap- pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of ‘combinatorial algebra‘ as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef- fective to some extent). To be more exact, we could approximately define the term ‘combinatorial algebra‘ for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups , associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specifi
Pindex Book 1994
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沙發(fā)
發(fā)表于 2025-3-21 23:32:57 | 只看該作者
Der Deutsche Bundestag im WandelRecall that a.is an algebra, over a field.which satisfies the identities (..The first identity is referred to as `anticommutativity’; because, by substituting.a +.we obtain a.+...0, i.e..
板凳
發(fā)表于 2025-3-22 00:41:24 | 只看該作者
Der Deutsche Bundestag im WandelThe fundamentals of the theory of free products for groups have been rooted in the Kurosh theorem on subgroups of a free product (see [237] and [238]).
地板
發(fā)表于 2025-3-22 08:00:26 | 只看該作者
https://doi.org/10.1007/978-3-663-09596-5In this chapter, we will demonstrate how to apply the constructive method of HNNextensions to analysing the conjugacy problem for Novikov-Boone groups. Namely, we shall analyse (and solve modulo the equivalence problem for the initial Post system) the conjugacy problem for the Novikov groups AP1P2.
5#
發(fā)表于 2025-3-22 09:14:51 | 只看該作者
Composition Method for Associative Algebras,One of the earliest sources of the composition method is Newman’s lemma [313] stated as follows. Let r be an oriented graph (i.e., a set of vertices and arrows, a -->.between them) which satisfies the
6#
發(fā)表于 2025-3-22 15:33:12 | 只看該作者
Free Lie Algebras,Recall that a.is an algebra, over a field.which satisfies the identities (..The first identity is referred to as `anticommutativity’; because, by substituting.a +.we obtain a.+...0, i.e..
7#
發(fā)表于 2025-3-22 18:02:23 | 只看該作者
Amalgamated Products of Lie Algebras,The fundamentals of the theory of free products for groups have been rooted in the Kurosh theorem on subgroups of a free product (see [237] and [238]).
8#
發(fā)表于 2025-3-23 01:04:38 | 只看該作者
9#
發(fā)表于 2025-3-23 03:40:30 | 只看該作者
https://doi.org/10.1007/978-3-663-09595-8le dimension into a two-generated Lie algebra, applying this method. In [278], the notion of a composition was introduced and a lemma, the first variant of a composition lemma, was proven (see [278], Lemma 4). The composition lemma in its modern form appeared in the work of L. A. Bokut’ [53]. Therei
10#
發(fā)表于 2025-3-23 05:49:48 | 只看該作者
Der Deutsche Bundestag im Wandelnote such a system freely generated by a set X. An arbitrary endomorphism θ of this system is determined by θ–acting on the free generators ..∈.:.where . = .(α) and..’sstand for terms in the signature Ω. For arbitrary elements .some endomorphism θ transfers . to . iff, in the system.the equation .(.
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