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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 6, Pages 1283–1292 (Mi smj1369)  
This article is cited in 3 scientific papers (total in 3 papers)

Frattini theory for classes of finite universal algebras of Mal'tsev varieties

Guo Wenbina, K. P. Shumb

a Department of Mathematics, Xuzhou Normal University, Xuzhou, P. R. China
b Department of Mathematics, The Chinese University of Hong Kong Shatin, Hong Kong, P. R. China (SAR)
Full-text PDF (228 kB) Citations (3)
Abstract: We extend the Frattini theory of formations and Schunck classes of finite groups to some Frattini theory of formations and Schunck classes of finite universal algebras of Malcev varieties. We prove that if $F\neq(1)$ is a nonempty formation (Schunck class) of algebras of a Malcev variety, then its Frattini subformation (Frattini Schunck subclass) $\Phi(F)$ consists of all nongenerators of $F$ moreover, if $M$ is a formation (Schunck class) in $F$ then $\Phi(M)\subseteq\Phi(F)$.
Keywords: universal algebra, formation, Schunck class, Frattini theory.
Received: 16.10.2001
English version:
Siberian Mathematical Journal, 2002, Volume 43, Issue 6, Pages 1039–1046
DOI: https://doi.org/10.1023/A:1021165217103
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: Guo Wenbin, K. P. Shum, “Frattini theory for classes of finite universal algebras of Mal'tsev varieties”, Sibirsk. Mat. Zh., 43:6 (2002), 1283–1292; Siberian Math. J., 43:6 (2002), 1039–1046
Citation in format AMSBIB
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\paper Frattini theory for classes of finite universal algebras of Mal'tsev varieties
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\pages 1283--1292
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\transl
\jour Siberian Math. J.
\yr 2002
\vol 43
\issue 6
\pages 1039--1046
\crossref{https://doi.org/10.1023/A:1021165217103}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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