English

Commutator Theory and Abelian Algebras

Rings and Algebras 2013-09-04 v1

Abstract

This is the first draft of a set of lecture notes developed for one-half of a seminar on two approaches to the notion of "Abelian", namely those of universal algebra, and of category theory. The half pertaining to the universal-algebraic perspective is covered here. All material has been adapted from the following sources: 1. Commutator Theory for Congruence Modular Varieties, by Ralph Freese and Ralph McKenzie. 2. Geometrical Methods in Congruence Modular Algebras, by H. Peter Gumm 3. Congruence Modular Varieties: Commutator Theory and Its Uses, by Ralph McKenzie and John Snow

Keywords

Cite

@article{arxiv.1309.0662,
  title  = {Commutator Theory and Abelian Algebras},
  author = {Peter Ouwehand},
  journal= {arXiv preprint arXiv:1309.0662},
  year   = {2013}
}