Signed Singular Mappings Transformation Semigroup

Abstract

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)

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