Finitely generated projective modules and Fitting ideals.
-domains and pseudo-valuations
Generating Ideals in Polynomial Rings.
Generic maps and modules
Globale Moduln.
Gorenstein Rings and Modules with High Numbers of Generators.
Grassmann formula for certain type of modules
Idealtransformierte von multiplikativen Systemen von Idealen und deren Endlichkeit
Krull dimension and integrality of symmetric algebras.
Length of Polynomial Ascending Chains and Primitive Recursiveness.
Linear forms on modules of projective dimension one.
Maximal elements of support.
Minimale Erzeugendenanzahl von Moduln.
Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.
Monomial ideals with tiny squares and Freiman ideals
We provide a construction of monomial ideals in such that , where denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018). Working in the ring , we generalize the definition of a Freiman ideal which was introduced in J. Herzog, G. Zhu (2019) and then we give a complete characterization of such ideals. A particular case of this characterization leads to some further investigations on that generalize some results...
Nicht endlich erzeugte Primideale in Steinschen Algebren.
On binomial set-theoretic complete intersections in characteristic p.
On Cohen's theorem
On commutative FGI-Rings.
On domains with ACC on invertible ideals
If is a domain with the ascending chain condition on (integral) invertible ideals, then the group of its invertible ideals is generated by the set of maximal invertible ideals. In this note we study some properties of and we prove that, if is a free group on , then is a locally factorial Krull domain.