Displaying similar documents to “A note on finitely generated ideal-simple commutative semirings”

Notes on commutative parasemifields

Vítězslav Kala, Tomáš Kepka, Miroslav Korbelář (2009)

Commentationes Mathematicae Universitatis Carolinae

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Parasemifields (i.e., commutative semirings whose multiplicative semigroups are groups) are considered in more detail. We show that if a parasemifield S contains ℚ + as a subparasemifield and is generated by ℚ + ∪ { a } , a ∈ S , as a semiring, then S is (as a semiring) not finitely generated.