Signed Singular Mappings Transformation Semigroup


The semigroup of all singular self mappings of    denoted by  was studied by Howie (1966). Also Howie and Schein (1973) investigated the elements of  . In like manner, the singular mappings in signed transformation,  to be defined on the set  where  and   In this paper the order, idempotent, nilpotent and chain decomposition of signed singular mapping were investigate.

Keywords: Chain Decomposition, Idempotent, Nilpotent, semigroup, signed full transformation., singular mapping

Article Review Status: Published

Pages: 22-27 (Download PDF)

Creative Commons Licence
This work by European American Journals is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License