Representation of Universal Algebra
General Mathematics
2015-02-10 v3
Abstract
Theory of representations of universal algebra is a natural development of the theory of universal algebra. Morphism of the representation is the map that conserve the structure of the representation. Exploring of morphisms of the representation leads to the concepts of generating set and basis of representation. In the book I considered the notion of tower of representations of -algebras, i=1 ..., n, as the set of coordinated representations of -algebras.
Cite
@article{arxiv.0912.3315,
title = {Representation of Universal Algebra},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:0912.3315},
year = {2015}
}
Comments
English text - 79 pages; Russian text - 79 pages, this paper was published as chapter 2 of book Representation Theory: Representation of Universal Algebra, Lambert Academic Publishing, 2011