Signed Singular Mappings Transformation Semigroup (Published)
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