The semiring of quotients of commutative semirings
Syed A. Huq (1973)
Colloquium Mathematicae
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Syed A. Huq (1973)
Colloquium Mathematicae
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Giraldes, E. (1980)
Portugaliae mathematica
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Jaroslav Ježek, Tomáš Kepka (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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F. Smith (1966)
Fundamenta Mathematicae
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Vítězslav Kala, Tomáš Kepka (2008)
Commentationes Mathematicae Universitatis Carolinae
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Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
Hebisch, U., Weinert, H.J. (1990)
Mathematica Pannonica
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Luca Aceto, Zoltán Ésik, Anna Ingólfsdóttir (2002)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We show that the validity of Parikh’s theorem for context-free languages depends only on a few equational properties of least pre-fixed points. Moreover, we exhibit an infinite basis of -term equations of continuous commutative idempotent semirings.