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Bounds for joint spectral radii of a set of nonnegative matrices the apparatus of idempotent algebra. © Pleiades Publishing, Ltd., 2010.

Bounds for joint spectral radii of a set of nonnegative matrices the apparatus of idempotent algebra. © Pleiades Publishing, Ltd., 2010.

Quantum Logics of Idempotents of Unital Rings of idempotents in a ring. We continue the study of symmetric logics, i.e., collections of subsets generalizing

Quantum Logics of Idempotents of Unital Rings of idempotents in a ring. We continue the study of symmetric logics, i.e., collections of subsets generalizing

Differences of idempotents in C*-algebras© 2017, Pleiades Publishing, Ltd.Suppose that P and Q are idempotents on a Hilbert space H, while Q

Differences and commutators of idempotents in C*-algebras(H)$. It is shown that the commutator of an idempotent and an arbitrary element from an algebra $A$ cannot be a

Solution of algebraic equations in idempotent semifieldsSolution of algebraic equations in idempotent semifields

Differences of idempotents in C*-algebrasWe study trace of differences of idempotents in C*-algebras

Differences of Idempotents In C*-Algebras and the Quantum Hall Effect
© 2018, Pleiades Publishing, Ltd. Let ϕ be a trace on the unital C*-algebra A and Mϕbe the ideal

Trace and Differences of Idempotents in C*-Algebras on a von Neumann algebra A:(i)φ is a trace;(ii)φ(Q − P) ∈ ℝ+ for all idempotents P, Q∈ A with QP = P

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