On modules in which idempotent reducts form a chain

Ágnes Szendrei

Displaying similar documents to “On modules in which idempotent reducts form a chain”

The structure of idempotent residuated chains

Wei Chen, Xian Zhong Zhao (2009)

Czechoslovak Mathematical Journal

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In this paper we study some special residuated lattices, namely, idempotent residuated chains. After giving some properties of Green’s relation $𝒟$ on the monoid reduct of an idempotent residuated chain, we establish a structure theorem for idempotent residuated chains. As an application, we give necessary and sufficient conditions for a band with an identity to be the monoid reduct of some idempotent residuated chain. Finally, based on the structure theorem for idempotent residuated chains,...

On groups in which idempotent reducts form a chain

J. Płonka (1974)

Colloquium Mathematicae

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The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.

Litvinov, G.L. (2005)

Zapiski Nauchnykh Seminarov POMI

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Semirings with descending chain condition and without nilpotent elements

James R. Mosher (1971)

Compositio Mathematica

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Ideal-simple semirings. II.

Tomáš Kepka, Petr Němec (2012)

Acta Universitatis Carolinae. Mathematica et Physica

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Ideal-simple semirings. I.

Tomáš Kepka, Petr Němec (2012)

Acta Universitatis Carolinae. Mathematica et Physica

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Idempotent operators on a finite chain.

Margalida Mas Grimalt, Joan Torrens, Tomasa Calvo, Marc Carbonell (1999)

Mathware and Soft Computing

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This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.