International Journal of Mathematics and Statistics Studies (IJMSS)

EA Journals

Nilpotent

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

On Some Signed Semigroups of Order – Preserving Transformation (Published)

Let 3, .., n} and  be a transformation from  whereThe semigroup of  (the full transformation semigroup),  (the partial transformation semigroup) and  (the partial one – one transformation semigroup) serve the bedrock for these transformation semigroups, Let  denotes the sets of signed full order – preserving, signed partial order – preserving and signed partial  one – one order –  preserving transformation semigroup respectively. The paper aims at investigate the sets of these subsemigroups.

Keywords: Chain Decomposition, Idempotent, Nilpotent, Order Preserving, Self-Inverse, Transformation Semigroup

Scroll to Top

Don't miss any Call For Paper update from EA Journals

Fill up the form below and get notified everytime we call for new submissions for our journals.