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Cyclic projectors and separation theorems in idempotent convex geometry
Semimodules over idempotent semirings like the max-plus or tropical semiring have much in common with convex cones. This analogy is particularly apparent in the case of subsemimodules of the n-fold cartesian product of the max-plus semiring it is known ...
F. L. Baccelli +20 more
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The Milnor-Moore theorem says that in characteristic zero, any connected graded cocommutative bialgebra \(A\) is canonically isomorphic to the enveloping bialgebra of the Lie algebra of its primitive elements \(\text{Prim}(A)\). There is a weaker form known as the Leray theorem, whose dual statement is that any retract of the vector space inclusion of \
Patras, Frédéric +1 more
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Equilibria for games in idempotent measures
This paper is devoted to non-cooperative games in idempotent measures. We consider two kinds of such games. Firstly, players are allowed to play their mixed idempotent strategies.
Radul Taras
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On Extendibility of Evolution Subalgebras Generated by Idempotents
In the present paper, we examined the extendibility of evolution subalgebras generated by idempotents of evolution algebras. The extendibility of the isomorphism of such subalgebras to the entire algebra was investigated.
Farrukh Mukhamedov, Izzat Qaralleh
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The idempotent Radon--Nikodym theorem has a converse statement
Idempotent integration is an analogue of the Lebesgue integration where $\sigma$-additive measures are replaced by $\sigma$-maxitive measures. It has proved useful in many areas of mathematics such as fuzzy set theory, optimization, idempotent analysis ...
Poncet, Paul
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Self-adjoint symmetry operators connected with the magnetic Heisenberg ring
We consider symmetry operators a from the group ring C[S_N] which act on the Hilbert space H of the 1D spin-1/2 Heisenberg magnetic ring with N sites. We investigate such symmetry operators a which are self-adjoint (in a sence defined in the paper) and ...
Bernd Fiedler +19 more
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Idempotents in Matrix Rings [PDF]
Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
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Product preservation and stable units for reflections into idempotent subvarieties [PDF]
We give a necessary and sufficient condition for the preservation of finite products by a reflection of a variety of universal algebras into an idempotent subvariety.
Isabel A. Xarez, Joao J. Xarez
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Some homological aspects of idempotents in idempotented algebras [PDF]
We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.
Arnab Mitra, Rishi Vyas
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