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Displaying similar documents to “Quasitrivial semimodules. IV.”

Quasitrivial semimodules. V.

Tomáš Kepka, Petr Němec (2013)

Acta Universitatis Carolinae. Mathematica et Physica

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Critical semimodules over congruence-simple semirings are studied.

Quasitrivial semimodules. III.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2009)

Acta Universitatis Carolinae. Mathematica et Physica

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Quasitrivial semimodules. I.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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Quasitrivial semimodules. II.

Khaldoun Al-Zoubi, Tomáš Kepka, Petr Němec (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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Green’s 𝒟 -relation for the multiplicative reduct of an idempotent semiring

Francis J. Pastijn, Xian Zhong Zhao (2000)

Archivum Mathematicum

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The idempotent semirings for which Green’s 𝒟 -relation on the multiplicative reduct is a congruence relation form a subvariety of the variety of all idempotent semirings. This variety contains the variety consisting of all the idempotent semirings which do not contain a two-element monobisemilattice as a subsemiring. Various characterizations will be given for the idempotent semirings for which the 𝒟 -relation on the multiplicative reduct is the least lattice congruence.