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Different Types of Prime bi-ideals in Ternary Semirings

Kings Engineering College, Department of Mathematics, Chennai, 602117, India.

Bharath Institute of Higher Education and Research, Department of Mathematics, Chennai, 600073, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (2),
Received: 21 April 2021 |
Accepted: 15 June 2021 |
Published: 30 September 2021


To interact three different types of prime bi-ideals are introduce and the relation between them is obtain. Also we have define three different mb -systems. The bi-ideal P of a ternary semiring R is 2-prime if and only if RML ⊆ P, where R is a right ideal, M is a lateral ideal and L is a left ideal of R, implies R ⊆ P or M ⊆ P or L ⊆ P. If B is a bi-ideal of R, then HB is the unique largest two-sided ideal of R contained B. Let M be a mb 3 system and bi-ideal B of R with B ∩ M = φ. Then there exists a 3-prime P of R containing B with P ∩ M = φ.


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Different Types of Prime bi-ideals in Ternary Semirings.

Annals of Communications in Mathematics,

4 (2):
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