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

2010 ◽  
Vol 432 (6) ◽  
pp. 1595-1607
Author(s):  
Janko Marovt
Keyword(s):  
Division Rings ◽  
Matrix Semigroups

Homomorphisms of Matrix Semigroups over Division Rings from Dimension Two to Three

2011 ◽  
Vol 18 (03) ◽  
pp. 437-446
Author(s):  
Gregor Dolinar ◽  
Janko Marovt
Keyword(s):  
Division Ring ◽  
Multiplicative Semigroup ◽  
Division Rings ◽  
Matrix Semigroups

Let 𝔻 be an arbitrary division ring and Mn(𝔻) the multiplicative semigroup of all n × n matrices over 𝔻. We describe the general form of non-degenerate homomorphisms from M2(𝔻) to M3(𝔻).

A Perron-Frobenius-type Theorem for Positive Matrix Semigroups

Positivity ◽  
2016 ◽  
Vol 21 (1) ◽  
pp. 61-72
Author(s):  
L. Livshits ◽  
G. MacDonald ◽  
H. Radjavi
Keyword(s):  
Type Theorem ◽  
Positive Matrix ◽  
Matrix Semigroups

On division rings generated by polycyclic groups

1984 ◽  
Vol 47 (2-3) ◽  
pp. 154-164 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Division Rings ◽  
Polycyclic Groups

Polynomials over division rings

1978 ◽  
Vol 31 (3-4) ◽  
pp. 353-358 ◽  
Author(s):  
S. A. Amitsur ◽  
Lance W. Small
Keyword(s):  
Division Rings

scholarly journals Complex representations of matrix semigroups

1991 ◽  
Vol 323 (2) ◽  
pp. 563-581 ◽  
Author(s):  
Jan Okniński ◽  
Mohan S. Putcha
Keyword(s):  
Matrix Semigroups

scholarly journals Subgroups of finite index in an additive group of a ring

2001 ◽  
Vol 27 (2) ◽  
pp. 83-89
Author(s):  
Doostali Mojdeh ◽  
S. Hassan Hashemi
Keyword(s):  
Finite Index ◽  
Additive Group ◽  
Infinite Field ◽  
Division Rings ◽  
Invertible Elements

IfKis an infinite field andG⫅Kis a subgroup of finite index in an additive group, thenK∗=G∗G∗−1whereG∗denotes the set of all invertible elements inGandG∗−1denotes all inverses of elements ofG∗. Similar results hold for various fields, division rings and rings.

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