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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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RADICALS AND IDEMPOTENTS III: q-CENTRAL IDEMPOTENTS

Bulletin of the Australian Mathematical Society
AbstractPreviously [‘Radicals and idempotents I, II’, Comm. Alg.49(1) (2021), 73–84 and 50(11) (2022), 4791–4804], we have studied the interaction between radicals of rings and idempotents in general or those of particular types, for example, left semicentral.
E. P. COJUHARI, B. J. GARDNER
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Idempotents in $$F_+(G)$$

Archiv der Mathematik, 2019
Let \(G\) be a finite group and let \(F\) be a Green biset functor such that for all subgroups \(H\) of \(G\), \(F(H)\) is a torsion-free ring, finitely-generated as an abelian group, and has only trivial idempotents. With some minor hypotheses, it turns out that the Burnside ring \(B(G)\) of the group embeds in the lower plus construction \(F_+(G ...
Alberto G. Raggi-Cárdenas   +1 more
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The Idempotent Quiver of a Nearring

Algebra Colloquium, 2009
The idempotent quiver of a nearring R is a directed graph formed using primitive idempotents of R corresponding to the isomorphism classes of the type 2 modules of R. In this paper, we construct such quivers when R satisfies the descending chain condition on right R-subgroups and J2(R) is nilpotent, consider their computation, and study their ...
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