On the arity of idempotent reducts of groups
J. Płonka (1970)
Colloquium Mathematicae
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Displaying similar documents to “On groups in which idempotent reducts form a chain”
On the arity of idempotent reducts of groups
The Maslov dequantization, idempotent and tropical mathematics: a brief introduction.
Litvinov, G.L. (2005)
Zapiski Nauchnykh Seminarov POMI
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On modules in which idempotent reducts form a chain
Ágnes Szendrei (1978)
Colloquium Mathematicae
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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 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 the arity of idempotent reduct of abelian groups
J. Płonka (1973)
Colloquium Mathematicae
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Some classes of idempotent functions and their compositions
Robert W. Quackenbush (1974)
Colloquium Mathematicae
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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.
On idempotent semifields and a paper by H. Hutchins.
H.J. Weinert (1983)
Semigroup forum
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Maps on idempotent operators
Peter Šemrl (2007)
Banach Center Publications
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The set of all bounded linear idempotent operators on a Banach space X is a poset with the partial order defined by P ≤ Q if PQ = QP = P. Another natural relation on the set of idempotent operators is the orthogonality relation defined by P ⊥ Q ⇔ PQ = QP = 0. We briefly survey known theorems on maps on idempotents preserving order or orthogonality. We discuss some related results and open problems. The connections with physics, geometry, theory of automorphisms, and linear preserver...