On complex algebras of subalgebras
Rings and Algebras
2011-06-16 v1 Logic
Abstract
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.
Cite
@article{arxiv.math/0610832,
title = {On complex algebras of subalgebras},
author = {Kira Adaricheva and Agata Pilitowska and David Stanovsky},
journal= {arXiv preprint arXiv:math/0610832},
year = {2011}
}
Comments
19 pages