Geodesic
A note on homomorphisms of matrix semigroup
Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 247-252.

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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.
DOI : 10.26493/1855-3974.222.ee2
Keywords: Matrix semigroup, Homomorphism, Representation. 
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Matjaž Omladič; Bojan Kuzma. A note on homomorphisms of matrix semigroup. Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 247-252. doi : 10.26493/1855-3974.222.ee2. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.222.ee2/

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