On complex algebras of subalgebras

Details On complex algebras of subalgebras On complex algebras of subalgebras

2006-10-27

arxiv.org/abs/math/0610832v1

Algebra and Logic 47 (2008), no.6, 367-383 (translation from Russian)

Mathematics

Rings and Algebras

19 pages

Scientific paper

We establish a condition (so called generalized entropic property), equivalent to the fact that for every algebra A from a given variety 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, we study the identities satisfied by the complex algebras of subalgebras of algebras from a variety V.

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