Journal of Algebra, Number Theory: Advances and Applications
Author's: Guangming Xie, Zifen Hong and Chunxia Liu
Pages: [1] - [11]
Received Date: June 15, 2024
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122303
Let V be a total valuation ring of a skew field 
be the addictive group of the rational numbers,
and 
be the group of automorphisms of 
Let 
be a group homomorphism, 
be the skew group ring of 
over 
and be its quotient ring. We consider extensions of
in 
Set 
and 
It is shown that 
is an Ore system in 
and 
is an extension of in Similarly, we can get 
an extension of in Let 
be compatible with V. Set 
for any 
and 
and at least one 
It is shown that 
is an Ore system in R and 
is an extension of V in
total valuation ring, skew group ring, Ore system.
