(1) University of Massachusetts, 1 Sutton Court, Amherst, MA 01002, USA
Abstract:
We introduce and launch a study of compression bases in unital groups. The family of all compressions on a compressible group and the family of all direct compressions on a unital group are examples of compression bases. In this article we show that the properties of the compatibility relation in a compressible group generalize to unital groups with compression bases. PACS Classification Primary 03.65.Fd. Secondary 02.30 Tb. AMS Classification: Primary 06F20. Secondary 47A20.