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arxiv: 0910.4760 · v1 · submitted 2009-10-25 · 🧮 math.RA

On simple ringoids

classification 🧮 math.RA
keywords ringoidsbinaryclassescongruence-simpledistributiveexaminegeneralisedideal-simple
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A ringoid is a set with two binary operations that are linked by the distributive laws. We study special classes of ringoids that are congruence-simple or ideal-simple. In particular, we examine generalised parasemifields and non-associative semirings.

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