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On the ranks of idempotent matrices over skew semifieldsAs is well known, every positive idempotent matrix is of rank 1. It is proved that idempotent

On the ranks of idempotent matrices over skew semifieldsAs is well known, every positive idempotent matrix is of rank 1. It is proved that idempotent

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

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

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

Cyclic semirings with noncommutative addition: author's abstract of dissertation for the Scientific Degree of Candidate of Physical and Mathematical Sciences: 01.01.06 - Mathematical Logic, Algebra, and Number Theory

Fully idempotent homomorphismsFor arbitrary modules A and B we introduce and study the notion of a fully idempotent Hom (A, B

Problems on Structure of Finite Quasifields and Projective Translation Planes and semifields: automorphisms and autotopisms, maximal subfields and their orders, the spectrum of orders of non

Fully idempotent homomorphismsFor arbitrary modules A and B we introduce and study the notion of a fully idempotent Hom (A, B

Idempotents as J-ProjectionsLet B(H)Id be the set of all bounded idempotents on a Hilbert space H. Fix p∈B(H)Id. The aim

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