Semigroup Construction on Polygonal Numbers

A Emin - Journal of Engineering Technology and Applied …, 2021 - dergipark.org.tr
Journal of Engineering Technology and Applied Sciences, 2021dergipark.org.tr
… In this paper, some information about polygonal numbers are given. Also, a general binary
operator that includes all … By using similar methods as in these papers, we will give a
general binary operator that includes all polygonal numbers. In addition, it will be investigated
whether the algebraic structures defined with the general operator specify a semigroup or
not. By the way, maybe other algebraic studies, such as the studies in [5-7], can be studied
by other mathematicians with the binary operation defined on this new algebraic structure. …
In this paper, some information about polygonal numbers are given. Also, a general binary operator that includes all polygonal numbers are given and it is investigated whether the algebraic structures defined with the general operator specify a semigroup or not.
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