International Journal of Mathematics and Statistics Studies (IJMSS)

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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

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Email ID: editor.ijmss@ea-journals.org
Impact Factor: 7.80
Print ISSN: 2053-2229
Online ISSN: 2053-2210
DOI: https://doi.org/10.37745/ijmss.13

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