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2020•MathematicaOpen access

On the distributive lattices of left k-archimedean semirings

Tapas Kumar Mondal, A. K. Bhuniya

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Abstract

We introduce the notion of left k-Archimedean semirings which generalize the notion of k-Archimedean semirings, and characterize the semirings which are distributive lattices (chains) of left k-Archimedean semirings.

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What this paper is about

We introduce the notion of left k-Archimedean semirings which generalize the notion of k-Archimedean semirings, and characterize the semirings which are distributive lattices (chains) of left k-Archimedean semirings.

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Available abstract

We introduce the notion of left k-Archimedean semirings which generalize the notion of k-Archimedean semirings, and characterize the semirings which are distributive lattices (chains) of left k-Archimedean semirings.

Key concepts: Distributive property, Distributive lattice, Mathematics, Pure mathematics

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