Further Results on Combinatorial Properties of Order-Preserving Alternating Semigroups.
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Date
2018-11
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Confluence Journal of Pure and Applied Sciences. Published by Faculty of Science, Federal University Lokoja, Kogi State, Nigeria.
Abstract
Let Cn be the charts on Xn = {1,2,...,n} be the alternating semigroups, OAnc be the subsemigroups of order preserving alternating semigroups and N(S) be the set of nilpotents element of a semigroups OAnc .
Let G(n;p,m) = | {aeS : h(a) = p^f(a) = m }| ,G(n;m) = | {aeS : f(a) = m }| and G(p; m) = | {aeS : h(a) = p }| .
In this paper, some combinatorial properties of OAnc for two parameters G(n; p) were discuss and their nilpotent elements were also investigated.
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Keywords
Semigroups,, Chart,, Nilpotent elements., Alternating Semigroup,, Order-Preserving Alternating Semigroup
Citation
Bakare, G. N., and Makanjuola, S. O. (2018)