Homomorphisms of matrix semigroups over division rings from dimension two to four

Abstract

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.

Keywords

matematika;multiplikativna preslikava;matrike nad nekomutativnimi obsegi;kvaternioni;algebra;multiplicative map;matrices over division rings;quaternions;

Data

Language:	English
Year of publishing:	2010
Typology:	1.01 - Original Scientific Article
Organization:	UM EPF - Faculty of Economics and Business
UDC:	512.643
COBISS:	10141212
ISSN:	0024-3795
Views:	692
Downloads:	95
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
URN:	URN:SI:UM:
Type (COBISS):	Not categorized
Pages:	str. 1595-1607
Volume:	ǂVol. ǂ432
Issue:	ǂiss. ǂ6
Chronology:	2010
DOI:	10.1016/j.laa.2009.11.019
ID:	1471952