2012/04/30 by R. Gray, Gray, R., V. Maltcev +5
Mathematics · #20M05 #20M12 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20M05 #msc:20M12
paper · pdf · doi:10.48550/arxiv.1204.6602
25 pages, revised according to referee's comments, to appear in Glasgow Mathematical Journal
arxiv created 2013/01/25 · arxiv updated 2013/01/28
In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration include stability, D=J and minimal conditions on ideals.