Results 271 to 280 of about 127,752 (316)

Varieties of Exponential R-Groups

Algebra and Logic, 2023
The notion of an exponential \(R\)-group, where \(R\) is an arbitrary associative ring with unity, was introduced by \textit{R. Lyndon} [Trans. Am. Math. Soc. 96, 518--533 (1960; Zbl 0108.02501)]. This notion has been refined to that of \(MR\)-groups by \textit{A. G. Myasnikov} and \textit{V. N. Remeslennikov} [Sib. Math. J. 35, No.
Amaglobeli, M. G., Myasnikov, A. G., Nadiradze, T. T.   +2 more
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Regular groups in varieties ofp-groups

Israel Journal of Mathematics, 1974
It is shown that, if the regular groups in an irregular locally-finite varietyV ofp-groups form a subvariety, then these regular groups arep-abelian. The question of the possible structure ofV is also discussed.
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VARIETIES IN REPRESENTATIONS OF FINITE GROUPS. LOCALLY STABLE VARIETIES. MATRIX GROUPS AND VARIETIES OF REPRESENTATIONS

Russian Mathematical Surveys, 1979
ContentsIntroductionChapter 1. Stability § 1. Identities of stable varieties § 2. Locally stable and unipotent varieties § 3. The algebra of stable varieties § 4. Classification questions for stable varieties § 5. Magnus varieties of representationsChapter 2. Locally finite and locally bounded varieties § 1. Locally bounded varieties § 2.
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Group varieties and group structures

Izvestiya: Mathematics, 2022
We explore to what extent the group variety of a connected algebraic group or the group manifold of a real Lie group determines its group structure.
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Soluble Groups and Varieties of l-Groups

Algebra and Logic, 2005
Summary: A sufficient condition is given under which factors of a system of normal convex subgroups of a linearly ordered (l.o.) group are abelian. Also, a sufficient condition is specified subject to which factors of a system of normal convex subgroups of an l.o. group are contained in a group variety \(\mathcal V\).
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Metabelian varieties of groups

1974
The reader is referred to Hanna Neumann [12], [13] for notation, terminology and basic facts relating to varieties of groups. Recall that a variety of universal algebras is a class of universal algebras closed under the operations of forming subalgebras, cartesian products and quotient algebras. Equivalently a variety is the class of universal algebras
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Group Structures on Algebraic Varieties

Doklady Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Varieties of Groups

1982
Roughly speaking, a variety of groups is a class of groups in which certain relations called laws or rules or identities are universally valid. The most widely investigated variety of groups is that of abelian groups in which the commutative law is universally valid or, in other words, in which for arbitrary elements x1, x2 of the group, the identity
Bruce Chandler, Wilhelm Magnus
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Extension of group varieties and generalized Jacobian varieties

Journal of the Faculty of Science, University of Tokyo. Sect. 1, Mathematics, astronomy, physics, chemistry = 東京大學理學部紀要. 第1類, 數學, 天文學, 物理學, 化學, 1964
Der Verf. beweist, daß die Gruppe \(\mathrm{Ext}(I, G_m)\) der Erweiterungen der Jacobischen Mannigfaltigkeit \(I\) einer singularitätenfreien vollständigen algebraischen Kurve \(C\) über einem algebraisch abgeschlossenen Grundkörper durch die multiplikative Gruppe \(G_m\) von den Erweiterungen folgenden Typs erzeugt wird: \[ 0 \longrightarrow G_m ...
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Classification of rice varieties with deep learning methods

Computers and Electronics in Agriculture, 2021
Murat Köklü, İlkay Cinar, Yavuz Selim TAŞPINAR   +2 more
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