4 citations · 4 across the 4 of their papers we have counts for
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Jordan derivations on semirings of triangular matrices
Dimitrinka Vladeva
We explore Jordan derivations of triangular matrices with entries from an additively idempotent semiring. The main result states that for any matrix A over additively idempotent se…
Jordan derivations in finite endomorphism semirings
Dimitrinka Vladeva
The aim of this article is to start a study of Jordan derivations in finite endomorphism semirings.
Derivatives of triangular, Toeplitz, circulant matrices and matrices of other forms over semirings
Dimitrinka Vladeva
In this article we construct examples of derivations in matrix semirings. We study hereditary and inner derivations, derivatives of diagonal, triangular, Toeplitz, circulant matric…
Projections of k-simplex onto the subsimplices of arbitrary type are derivations
Dimitrinka Vladeva
The aim of this paper is to prove that there is a projection of an arbitrary k-simplex onto (m - l)-subsimplex, where 1 < l < m < k - 1, which is a derivation.
Idempotent elements of the endomorphism semiring of a finite chain
Ivan Trendafilov, Dimitrinka Vladeva
Idempotents yield much insight in the structure of finite semigroups and semirings. In this article, we obtain some results on (multiplicatively) idempotents of the endomorphism se…