Avoidable Sets in The Bicyclic Inverse Semigroup

A subset U of a set S with a binary operation is called avoidable if S can be partitioned into two subsets A and B such that no element of U can be written as a product of two distinct elements of A or as the product of two distinct elements of B. The avoidable sets of the bicyclic inverse semigroup are classified.

• Type: Journal
• Year: 2005
• Where: ARSCOM
• Authors: Nándor Sieben
• Keywords: ARSCOM 2005, Binary Operation, Distinct Elements