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On idempotent convexities and idempotent barycenter maps
We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate topological properties of the barycenter map related to the maximum and the multiplication operations.
Dawid Krasiński, Taras Radul
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An element is considered as a strongly SITN, if it is the sum of idempotent, tripotent and a nilpotent, that commute with one another. A ring R is referred to be SITN ring if each member of R is a strongly SITN.
Rafal Dhanoon, Nazar Shuker
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A method for constructing idempotents in a unital algebra
A method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
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Note on idempotent semigroups, IV, Identities of three variables [PDF]
Naoki Kimura
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Products of Idempotent Operators
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Arias, Maria Laura +2 more
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Idempotents in ring extensions
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Kanwar, Pramod +2 more
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About unital and non-unital duo rings [PDF]
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
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On spectral properties of linear combinations of idempotents [PDF]
Hong-Ke Du +3 more
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Commutative idempotent residuated lattices [PDF]
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