scholarly journals Which series are Hilbert series of graded modules over standard multigraded polynomial rings?

2019 ◽  
Vol 293 (1) ◽  
pp. 129-146
Author(s):  
Lukas Katthän ◽  
Julio José Moyano‐Fernández ◽  
Jan Uliczka
Keyword(s):  
Hilbert Series ◽  
Polynomial Rings ◽  
Graded Modules

scholarly journals Hilbert series of symmetric ideals in infinite polynomial rings via formal languages

2017 ◽  
Vol 485 ◽  
pp. 353-362 ◽  
Author(s):  
Robert Krone ◽  
Anton Leykin ◽  
Andrew Snowden
Keyword(s):  
Hilbert Series ◽  
Formal Languages ◽  
Polynomial Rings

scholarly journals Equivariant Hilbert series in non-noetherian polynomial rings

2017 ◽  
Vol 486 ◽  
pp. 204-245 ◽  
Author(s):  
Uwe Nagel ◽  
Tim Römer
Keyword(s):  
Hilbert Series ◽  
Polynomial Rings

scholarly journals Hilbert series of modules over positively graded polynomial rings

2016 ◽  
Vol 459 ◽  
pp. 437-445 ◽  
Author(s):  
Lukas Katthän ◽  
Julio José Moyano-Fernández ◽  
Jan Uliczka
Keyword(s):  
Hilbert Series ◽  
Polynomial Rings

scholarly journals Hilbert regularity of $\mathbb Z$-graded modules over polynomial rings

2017 ◽  
Vol 9 (2) ◽  
pp. 157-184
Author(s):  
Winfried Bruns ◽  
Julio José Moyano-Fernández ◽  
Jan Uliczka
Keyword(s):  
Polynomial Rings ◽  
Graded Modules

scholarly journals Intersection algebras for principal monomial ideals in polynomial rings

2015 ◽  
Vol 14 (07) ◽  
pp. 1550108 ◽  
Author(s):  
Florian Enescu ◽  
Sara Malec
Keyword(s):  
Polynomial Ring ◽  
Hilbert Series ◽  
Linear Equations ◽  
Monomial Ideals ◽  
Polynomial Rings ◽  
Integer Coefficients ◽  
Canonical Ideal

The properties of the intersection algebra of two principal monomial ideals in a polynomial ring are investigated in detail. Results are obtained regarding the Hilbert series and the canonical ideal of the intersection algebra using methods from the theory of Diophantine linear equations with integer coefficients.

scholarly journals Hilbert depth of graded modules over polynomial rings in two variables

2013 ◽  
Vol 373 ◽  
pp. 130-152 ◽  
Author(s):  
Julio José Moyano-Fernández ◽  
Jan Uliczka
Keyword(s):  
Polynomial Rings ◽  
Graded Modules
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