Homomorphisms of matrix semigroups over division rings from dimension two to four |
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| Authors: | Janko Marovt |
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| Institution: | EPF - University of Maribor, Razlagova 14, 2000 Maribor, Slovenia |
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| Abstract: | Let D be an arbitrary division ring and Mn(D) the multiplicative semigroup of all n×n matrices over D. We study non-degenerate, injective homomorphisms from M2(D) to M4(D). In particular, we present a structural result for the case when D is the ring of quaternions. |
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| Keywords: | Primary: 15A30 Secondary: 20M15 16S50 |
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