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This article is cited in 8 scientific papers (total in 8 papers)
A Mal'tsev basis for a partially commutative nilpotent metabelian group
E. I. Timoshenko
Novosibirsk State Technical University, Novosibirsk, Russia
Abstract:
We find a canonical representation for elements of a partially commutative group in a variety of soluble groups of derived length two and nilpotency class at most $c\ge1$.
Keywords:
partially commutative nilpotent metabelian group, variety, Mal'tsev basis.
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Algebra and Logic, 2011, 50:5, 439–446
Bibliographic databases:
   
UDC:
512.5
Received: 03.12.2010
Revised: 25.02.2011
Citation:
E. I. Timoshenko, “A Mal'tsev basis for a partially commutative nilpotent metabelian group”, Algebra Logika, 50:5 (2011), 647–658; Algebra and Logic, 50:5 (2011), 439–446
Citation in format AMSBIB
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\pages 439--446
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This publication is cited in the following articles:
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Ch. K. Gupta, E. I. Timoshenko, “Properties and universal theories for partially commutative nilpotent metabelian groups”, Algebra and Logic, 51:4 (2012), 285–305
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E. N. Poroshenko, “Centralizers in partially commutative Lie algebras”, Algebra and Logic, 51:4 (2012), 351–371
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Poroshenko E.N. Timoshenko E.I., “Universal Equivalence of Partially Commutative Metabelian Lie Algebras”, J. Algebra, 384 (2013), 143–168
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Poroshenko E.N., “on Universal Equivalence of Partially Commutative Metabelian Lie Algebras”, Commun. Algebr., 43:2 (2015), 746–762
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E. N. Poroshenko, “Universal equivalence of partially commutative Lie algebras”, Algebra and Logic, 56:2 (2017), 133–148
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E. N. Poroshenko, “Universal equivalence of some countably generated partially commutative structures”, Siberian Math. J., 58:2 (2017), 296–304
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Timoshenko E., “On Embedding of Partially Commutative Metabelian Groups to Matrix Groups”, Int. J. Group Theory, 7:4 (2018), 17–26
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E. N. Poroshenko, “Ob universalnoi ekvivalentnosti chastichno kommutativnykh algebr Li, opredelennykh grafami bez treugolnikov i kvadratov i bez izolirovannykh vershin”, Sib. elektron. matem. izv., 17 (2020), 933–953
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