From right PP monoids to restriction semigroups: a survey
Keywords:right PP monoid, left ample semigroup, weakly left E-ample semigroup, restriction semigroup, partial transformation
AbstractLeft restriction semigroups are a class of semigroups which generalise inverse semigroups and which emerge very naturally from the study of partial transformations of a set.Â Consequently, they have arisen in a variety of different contexts, under a range of names.Â One of the various guises under which left restriction semigroups have appeared is that of weakly left E-ample semigroups, as studied by Fountain, Gomes, Gould and Lawson, amongst others.Â In the present article, we will survey the historical development of the study of left restriction semigroups, from the `weakly left E-ample' perspective, and sketch out the basic aspects of their theory.
How to Cite
Hollings, C. (2009). From right PP monoids to restriction semigroups: a survey. European Journal of Pure and Applied Mathematics, 2(1), 21–57. Retrieved from https://www.ejpam.com/index.php/ejpam/article/view/221
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.