scholarly journals Some properties of multivariate differential dimension polynomials and their invariants

2020 ◽  
Author(s):  
Alexander Levin
Keyword(s):  
Differential Dimension

scholarly journals Estimates for the coefficients of differential dimension polynomials

2019 ◽  
Vol 88 (320) ◽  
pp. 2959-2985 ◽  
Author(s):  
Omar León Sánchez
Keyword(s):  
Differential Dimension

scholarly journals Multivariable dimension polynomials and new invariants of differential field extensions

2001 ◽  
Vol 27 (4) ◽  
pp. 201-214 ◽  
Author(s):  
Alexander B. Levin
Keyword(s):  
Field Extension ◽  
Differential Polynomials ◽  
Finitely Generated ◽  
Field Extensions ◽  
Differential Field ◽  
Differential Dimension ◽  
Characteristic Sets ◽  
Differential Dimension Polynomial ◽  
Dimension Polynomial

We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.

HEIGHT PLUS DIFFERENTIAL DIMENSION IN COMMUTATIVE NOETHERIAN RINGS

1984 ◽  
Vol s2-30 (1) ◽  
pp. 15-20 ◽  
Author(s):  
K. R. GOODEARL ◽  
T. H. LENAGAN ◽  
P. C. ROBERTS
Keyword(s):  
Noetherian Rings ◽  
Differential Dimension
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