Jordan derivations on semirings of triangular matrices

Published 23 Feb 2018 in math.RA | (1802.08704v1)

Abstract: 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 semiring, if we put all the elements of the family of dense submatrices of A to be zeroes, we find a derivative of A. The set of derivations of this type is established.

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Dimitrinka Vladeva

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