Chajda, I., & Länger, H. (2016). Near semirings and semirings with involution. Miskolc Mathematical Notes, 17(2), 801–810. https://doi.org/10.18514/MMN.2016
balanced near semiring; Near semiring; Antitone involution; orthomodular lattice; congruence distributive; congruence permutable; congruence regular
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Abstract:
We study so-called near semirings endowed with an antitone involution. Such a near semiring is in fact a bounded lattice which has one more binary operation, the multiplication. We classify several families of bounded lattices which can be organized in such near semirings, e.g. chains or orthomodular lattices. A particular case are the so-called balanced near semirings which form a variety which is congruence distributive, permutable and regular.
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Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%
