20.500.12556/DKUM-51445 Homomorphisms of matrix semigroups over division rings from dimension two to four Let ▫$mathbb{D}$▫ be an arbitrary division ring and ▫$M_n(mathbb{D})$▫ the multiplicative semigroup of all ▫$n times n$▫ matrices over ▫$mathbb{D}$▫. We study non-degenerate, injective homomorphisms from ▫$M_2(mathbb{D})$▫ to ▫$M_4(mathbb{D})$▫. In particular, we present a structural result for the case when ▫$mathbb{D}$▫ is the ring of quaternions. matematika multiplikativna preslikava matrike nad nekomutativnimi obsegi kvaternioni matematika algebra multiplicative map matrices over division rings quaternions true false false Angleški jezik Angleški jezik Delo ni kategorizirano 2015-07-10 14:47:03 2015-07-10 14:47:03 2022-05-30 03:05:51 2019-07-11 07:19:06 2010 0 0 str. 1595-1607 iss. 6 Vol. 432 2010 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.643 1119247 10141212 10.1016/j.laa.2009.11.019 0024-3795 URN:SI:UM:DK:YUST26R9 http://dx.doi.org/10.1016/j.laa.2009.11.019 1 https://dk.um.si/Dokument.php?lang=slv&id=76005 Ekonomsko-poslovna fakulteta 0 0 0