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Idempotent uninorms

European Journal of Operational Research, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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QUASIVARIETIES OF IDEMPOTENT SEMIGROUPS

International Journal of Algebra and Computation, 2003
It is proved that the lattice L(Bd) of quasivarieties contained in the variety Bdof idempotent semigroups contains an isomorphic copy of the ideal lattice of a free lattice on ω free generators. This result shows that a problem of Petrich [19], which calls for a description of L(Bd), is much more complex than originally expected.
M. E. Adams, Wieslaw Dziobiak
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On Lifting Idempotents

Canadian Mathematical Bulletin, 1974
Let N be an ideal of a ring A. We say that idempotents modulo N can be lifted provided that for every a of A such that a2-a ∈ N there exists an element e2=e ∈ A such that e-a ∈ N. The technique of lifting idempotents is considered to be a fundamental tool in the classical theory of nonsemiprimitive Artinian rings (refer [2; p. 72]).
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Idempotence is not a medical condition

Communications of the ACM, 2012
Messages may be retried. Idempotence means that's OK.
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THE IDEMPOTENTS IN A PERIODIC SEMIGROUP

International Journal of Algebra and Computation, 1996
Let [Formula: see text] be the semigroup variety determined by the identity xm=xm+k. For [Formula: see text] we define operations on the set E(S) of idempotents of S and thus obtain the idempotent algebra of S. For any subvariety [Formula: see text] of [Formula: see text] the idempotent algebras of the members of [Formula: see text] form a variety ...
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On Idempotent and Hyperassociative Structures

Lobachevskii Journal of Mathematics, 2019
An algebra with binary operations is called a binary algebra. A binary algebra \((Q;\Sigma)\) is said to be 1) hyperassociative if \(X(x,Y(y,z))=Y(X(x,y),z)\) for every operations \(X,Y\in\Sigma\), 2) rectangular if \(X(x,X(y,x))=x\) for every operation \(X\in\Sigma\). The main result of the paper under review is Theorem 4.
Movsisyan, Yu., Yolchyan, Marlen
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IDEMPOTENT POINTLIKE SETS

International Journal of Algebra and Computation, 2004
In this paper we answer a question posed by John Rhodes: "What are the aperiodic-idempotent-pointlike subsemigroups of S?" Answer: Precisely those aperiodic-pointlike subsemigroups that are idempotents, i.e. EPlA(S)={X|X≤E=E2∈PlA(S)}. In the proof we define, for a given variety V (closed under n-tuple expansion) and a given relation R:S-V∈V computing ...
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A Class of Idempotent Semirings

Semigroup Forum, 2000
A semiring is said to be idempotent if both reducts are bands. Let \(\mathbf I\) be the variety of all idempotent semirings, let \(\mathbf D\) be the variety of all distributive lattices. Let \({\mathbf R}^+\) be the subvariety of \(\mathbf I\) which satisfies \(x+y+x=x\).
Sen, M. K., Guo, Y. Q., Shum, K. P.
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Fibration of Idempotent Measures

Ukrainian Mathematical Journal, 2021
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Idempotent Anti-unification

ACM Transactions on Computational Logic, 2019
In this article, we address two problems related to idempotent anti-unification. First, we show that there exists an anti-unification problem with a single idempotent symbol that has an infinite minimal complete set of generalizations. It means that anti-unification with a single idempotent symbol has infinitary or nullary generalization type, similar ...
David M. Cerna, Temur Kutsia
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