A note on homomorphisms of matrix semigroup

Matjaž Omladič, Bojan Kuzma

Abstract


Let F be a field. We classify multiplicative maps from Mn(F) to MC(n, k)(F) which annihilate a zero matrix and map rank-k matrix into a rank-one matrix.


Keywords


Matrix semigroup, Homomorphism, Representation.

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DOI: https://doi.org/10.26493/1855-3974.222.ee2

ISSN: 1855-3974

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