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Algebra i logika, 2008, Volume 47, Number 6, Pages 655–686 (Mi al381)  
This article is cited in 6 scientific papers (total in 6 papers)

Complex algebras of subalgebras

K. V. Adarichevaa, A. Pilitowskab, D. Stanovskýc

a Harold Washington College
b Warsaw University of Technology
c Charles University
Full-text PDF (284 kB) Citations (6)
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Abstract: Let $\mathcal V$ be a variety of algebras. We specify a condition (the so-called generalized entropic property), which is equivalent to the fact that for every algebra $\mathbf A\in\mathcal V$, the set of all subalgebras of $\mathbf A$ is a subuniverse of the complex algebra of the subalgebras of $\mathbf A$. The relationship between the generalized entropic property and the entropic law is investigated. Also, for varieties with the generalized entropic property, we consider identities that are satisfied by complex algebras of subalgebras.
Keywords: complex algebra, complex algebra of subalgebras, mode, entropic law, mediality, linear identity.
Received: 09.10.2007
Revised: 02.06.2008
English version:
Algebra and Logic, 2008, Volume 47, Issue 6, Pages 367–383
DOI: https://doi.org/10.1007/s10469-008-9036-7
Bibliographic databases:
UDC: 512.579
Language: Russian
Citation: K. V. Adaricheva, A. Pilitowska, D. Stanovský, “Complex algebras of subalgebras”, Algebra Logika, 47:6 (2008), 655–686; Algebra and Logic, 47:6 (2008), 367–383
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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