The Minimality and Maximality of n-ideals in n-ary Semigroups
DOI:
https://doi.org/10.29020/nybg.ejpam.v11i3.3283Keywords:
n-ary semigroups, i-ideals, n-ideals, minimal ideals, maximal ideals, n-simple, 0-n-simple.Abstract
One knows that the concept of minimality and maximality of left ideals and right ideals play an important role in semigroups. In this paper, we extend this concept to consider in n-ary semigroups. A number of results concerning relationships between minimality and maximality of n-ideals of n-ary semigroups and n-simple (0-n-simple) n-ary semigroups as well as some characterizations of minimality and maximality of n-ideals of n-ary semigroups are given.
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Published
2018-07-31
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Mathematical Psychology
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How to Cite
The Minimality and Maximality of n-ideals in n-ary Semigroups. (2018). European Journal of Pure and Applied Mathematics, 11(3), 762-773. https://doi.org/10.29020/nybg.ejpam.v11i3.3283