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On Essential Ideals of a Ternary Semiring |
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PP: 65-68 |
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doi:10.18576/sjm/040301
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Author(s) |
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Swapnil Wani,
Kishor Pawar,
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Abstract |
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| This paper is based on the idea of essential ideals in ternary semiring. The concepts of the essential ideals, semi-essential
ideals and weak essential ideals of a semiring have been generalized to ternary semiring and study some of its properties. We also
generalize the Andrunakievich lemma for ternary semiring. We proved that the intersection of any two ideals of a ternary semiring is
weak essential if one is essential and other is weak essential. Also proved that the intersection of any two weak essential ideals of a
ternary semiring is weak essential if one of them is does not contained in any semi-prime ideal of a ternary semiring. |
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