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arXiv · 2303.14799

Subtractive spaces of semirings

Amartya Goswami
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Abstract

Using the closure operator that defines a subtractive ideal of a semiring $S$, in this note we introduce a topology on the set of all ideals of $S$ induced by that operator. We show that the corresponding subtractive space is $T_0$ and every nonempty irreducible closed set has a unique generic point, whereas the restricted subspace of subtractive ideals is $T_1$. Using a semiring homomorphism, we obtain a continuous map between the corresponding subtractive spaces.

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Amartya Goswami. 2023-03-26. Subtractive spaces of semirings. https://arxiv.org/abs/2303.14799

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