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. Then, we proceed to investigate their algebraic properties (including ideal theory). We also characterize units and idempotent elements of formal power series over Indigenous semirings.
翻译:本文引入土著半环,并证明其为信息代数的实例。我们同时为其赋予图结构,并讨论其直径、围长与团数。进而研究其代数性质(包括理想理论)。此外,刻画了土著半环上形式幂级数环的单位元与幂等元。