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Algebraic properties of indigenous semirings
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In this paper, we introduce Indigenous semirings and show that they are examples of information algebras. We also attribute a graph to them and discuss their diameters, girths, and clique numbers. On the other hand, we prove that the Zariski topology of any Indigenous semiring is the Sierpiński space. Next, we investigate their algebraic properties (including ideal theory). In the last section, we characterize units and idempotent elements of formal power series over Indigenous semirings.
World Scientific Pub Co Pte Ltd
Title: Algebraic properties of indigenous semirings
Description:
In this paper, we introduce Indigenous semirings and show that they are examples of information algebras.
We also attribute a graph to them and discuss their diameters, girths, and clique numbers.
On the other hand, we prove that the Zariski topology of any Indigenous semiring is the Sierpiński space.
Next, we investigate their algebraic properties (including ideal theory).
In the last section, we characterize units and idempotent elements of formal power series over Indigenous semirings.
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