Geodesic
Complex algebras of subalgebras
Algebra i logika, Tome 47 (2008) no. 6, pp. 655-686

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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, entropic law, mediality, linear identity.
Mots-clés : complex algebra of subalgebras, mode 
@article{AL_2008_47_6_a0,
     author = {K. V. Adaricheva and A. Pilitowska and D. Stanovsk\'y},
     title = {Complex algebras of subalgebras},
     journal = {Algebra i logika},
     pages = {655--686},
     publisher = {mathdoc},
     volume = {47},
     number = {6},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_6_a0/}
}
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K. V. Adaricheva; A. Pilitowska; D. Stanovský. Complex algebras of subalgebras. Algebra i logika, Tome 47 (2008) no. 6, pp. 655-686. http://geodesic.mathdoc.fr/item/AL_2008_47_6_a0/