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Matematicheskie Zametki, 2011, Volume 89, Issue 3, Pages 355–364
DOI: https://doi.org/10.4213/mzm6611 (Mi mzm6611) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On a Class of Lattice Semigroup Functors

S. F. Kamornikov

Gomel Branch of International Institute of Labor and Social Relations
Full-text PDF (456 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm6611
Abstract: In the paper, continuum many natural transitive lattice subgroup functors corresponding to no hereditary lattice formation are constructed on the class of all finite groups. This result is an answer to Question 15.39 in “The Kourovka Notebook”, which was posed by the author and A. F. Vasilev in connection with their theorem claiming that, on the class of all solvable groups, all functors of this kind correspond to hereditary local lattice formations.
Keywords: lattice of all subgroups of a group, hereditary lattice formation, natural transitive lattice semigroup functor, solvable group, subgroup functor, NLT functor.
Received: 27.10.2008
English version:
Mathematical Notes, 2011, Volume 89, Issue 3, Pages 340–348
DOI: https://doi.org/10.1134/S0001434611030059
Bibliographic databases:
Document Type: Article
UDC: 512.542.4
Language: Russian
Citation: S. F. Kamornikov, “On a Class of Lattice Semigroup Functors”, Mat. Zametki, 89:3 (2011), 355–364; Math. Notes, 89:3 (2011), 340–348
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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