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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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.
Wacław Szymański (1977)
Annales Polonici Mathematici
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Vladimir Volenec (1987)
Stochastica
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A laterally commutative heap can be defined on a given set iff there is the structure of a TST-space on this set.
Tomáš Kepka (1993)
Commentationes Mathematicae Universitatis Carolinae
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A ring or an idempotent semiring is associative provided that additive endomorphisms are multiplicative.
Hebisch, U., Weinert, H.J. (1990)
Mathematica Pannonica
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Rechnoi, V. (2005)
Lobachevskii Journal of Mathematics
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Ivan Chajda (2007)
Discussiones Mathematicae - General Algebra and Applications
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The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.
Dorota Bród, Anetta Szynal-Liana, Iwona Włoch (2022)
Czechoslovak Mathematical Journal
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We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.