Browsing by Author "Ibrahim, G. R."
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Item Application of Tropical Geometry on Subsemigroup of Order-Preserving Full Transformation.(Science Association of Nigeria., 2018) Bakare, G. N.; Ibrahim, G. R.; Usamot, I. F.; Ahmed, B. M.This work ties together the tropical geometry and semigroup. We applied tropical geometry on subsemigroup of order-preserving full transformation (OTn) by degenerating the elements of classical algebra into tropical algebra in which the multiplicities were deduced through their tropical curves.Item Characterization of Signed Symmetric Group in Inner Product Spaces(Adamawa State University, 2019) Usamot, I. F.; Rauf, K.; Bakare, G. N.; Ibrahim, G. R.This paper provides some characterizations of signed symmetric group (SSn) using the notion of orthogonality in inner product spaces. The concepts of ortho-stochastic and reflection were introduced on SSn and results were established with some examples.Item Some properties of symmetric inverse semigroup and some of its subsemigroup(Abacus. Published by Mathematical Association of Nigeria., 2013) Ibrahim, G. R.; Bakare, G. N.In this paper, we studied the number of nilpotent element of order preserving one-one partial transformation semigroups and number of nilpotent elements of order decreasing + order preserving one-one partial transformation semigroups. Also, we shower that every idempotent element of one-one partial transformation semigroup is a contraction mapping.