Displaying similar documents to “Norms on semirings. I.”

Commutative zeropotent semigroups with few invariant congruences

Robert El Bashir, Tomáš Kepka (2008)

Czechoslovak Mathematical Journal

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Commutative semigroups satisfying the equation 2 x + y = 2 x and having only two G -invariant congruences for an automorphism group G are considered. Some classes of these semigroups are characterized and some other examples are constructed.

A note on the p-distributivity in non-Archimedean f-rings.

Joan Trías Pairó (1980)

Stochastica

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Non-Archimedean f-rings need not be p-distributive. Moreover, if {d|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a v d and v ad need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.