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Physical Sciences and Mathematics Commons

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Algebra

2019

(Cubic) left (right) ideal

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Full-Text Articles in Physical Sciences and Mathematics

Cubic Interior Ideals In Semigroups, G. Muhiuddin Jun 2019

Cubic Interior Ideals In Semigroups, G. Muhiuddin

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we apply the cubic set theory to interior ideals of a semigroup. The notion of cubic interior ideals is introduced, and related properties are investigated. Characterizations of (cubic) interior ideals are established, and conditions for a semigroup to be left (right) simple are provided.