On complex algebras of subalgebras
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Date
2006
Authors
Adaricheva, Kira
Pilitowska, Agata
Stanovsky, David
Journal Title
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Abstract
Let V be a variety of algebras. We establish a condition (so called
generalized entropic property), equivalent to the fact that for every algebra
A 2 V, the set of all subalgebras of A is a subuniverse of the complex algebra of
A. We investigate the relationship between the generalized entropic property
and the entropic law. Further, provided the generalized entropic property is
satisfied in V, we study the identities satisfied by the complex algebras of
subalgebras of algebras from V
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Keywords
Research Subject Categories::MATHEMATICS, complex algebras, subalgebras
Citation
Adaricheva Kira, Pilitowska Agata, Stanovsky David; 2006; On complex algebras of subalgebras; arXiv.org