English

The essentially free spectrum of a variety

Logic 2008-02-03 v1 Rings and Algebras

Abstract

We partially prove a conjecture from [MkSh:366] which says that the spectrum of almost free, essentially free, non-free algebras in a variety is either empty or consists of the class of all successor cardinals.

Keywords

Cite

@article{arxiv.math/9411234,
  title  = {The essentially free spectrum of a variety},
  author = {Alan H. Mekler and Saharon Shelah and Otmar Spinas},
  journal= {arXiv preprint arXiv:math/9411234},
  year   = {2008}
}